$＜[PLHD98_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜seed:tool_call_never_used_51bce0c785ca2f68081bfa7d91973934＞＜$|video|$＞:＜[PLHD73_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/hiddenthink＞＜[PLHD54_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD100_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD55_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|FCResponseBegin|$＞＜[PLHD98_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜doubaothinking_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD56_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[SEP_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/seed:tool_call_never_used_51bce0c785ca2f68081bfa7d91973934＞＜doubao_withdraw＞＜/escapeShell＞＜[SPEAK_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[EOGP_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD68_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜escapeShell ＜[SOI_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD97_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/hiddenthink＞＜doubaothinking_never_used_51bce0c785ca2f68081bfa7d91973934＞＜/think_never_used_51bce0c785ca2f68081bfa7d91973934＞＜$|FCResponseEnd|$＞＜[SOI_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD99_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[eou_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD90_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD82_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD88_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD96_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/answer_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD81_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD87_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD43_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD56_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD94_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PAD_never_used_51bce0c785ca2f68081bfa7d91973934]＞$$＜[PLHD99_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD59_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/parameter_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD94_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜RichMediaShow＞＜[SOG_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD63_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[bou_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD99_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[eotu_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD66_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD95_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[EOGP_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[eotu_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜function_never_used_51bce0c785ca2f68081bfa7d91973934=＜[PLHD96_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜RichMediaShow＞＜[SPEAK_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/escapeShell＞＜[SOG_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜reflection_never_used_51bce0c785ca2f68081bfa7d91973934＞＜$|paragraph|$＞:＜[PLHD73_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD71_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD93_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜doubaothinking_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[audio_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[SOI_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD64_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD91_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD89_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD87_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD66_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[SOI_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜seed:tool_call_never_used_51bce0c785ca2f68081bfa7d91973934＞＜$|FCResponseEnd|$＞＜[PLHD79_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜seed:tool_call_never_used_51bce0c785ca2f68081bfa7d91973934＞＜/RichMediaShow＞＜doubaothinking_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD95_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[CLS_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/seed:tool_call_never_used_51bce0c785ca2f68081bfa7d91973934＞＜/reflection_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD77_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[SEP_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|superscript|$＞:＜[PLHD73_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD79_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD86_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD96_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD70_never_used_51bce0c785ca2f68081bfa7d91973934]＞$$＜/parameter_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD43_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[SEP_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/answer_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[SOI_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|card|$＞:＜[PLHD87_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD77_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜reflection_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD75_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD81_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD75_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD60_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜RichMediaReference＞＜[PLHD88_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD78_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD95_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜parameter_never_used_51bce0c785ca2f68081bfa7d91973934=＜[PLHD75_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[SEP_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/seed:tool_call_never_used_51bce0c785ca2f68081bfa7d91973934＞＜reflection_never_used_51bce0c785ca2f68081bfa7d91973934＞＜$|card|$＞:＜[PLHD99_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PAD_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[EOG_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[CLS_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD60_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜RichMediaCreation＞＜[SOGP_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|FCResponseEnd|$＞＜[PLHD93_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD92_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[UNK_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/parameter_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD54_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD85_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/escapeShell＞＜$|paragraph|$＞:＜[PLHD88_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜escapeShell ＜doubaothinking_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[eotu_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|FCResponseBegin|$＞＜[PLHD80_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/escapeShell＞＜[PLHD66_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|paragraph|$＞:＜[PLHD55_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[eotu_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[SPEAK_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/parameter_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[eotu_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|superscript|$＞:＜[SEP_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜seed:tool_call_never_used_51bce0c785ca2f68081bfa7d91973934＞＜/escapeShell＞＜[PLHD98_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜doubaothinking_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD98_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PAD_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[SPEAK_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[EOGP_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/think_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD89_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD84_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD63_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|video|$＞:＜[PLHD77_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD91_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|paragraph|$＞:＜[PLHD61_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[SEP_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/answer_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD82_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD64_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/parameter_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[UNK_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|FCResponseEnd|$＞＜[PAD_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD94_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD86_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/escapeShell＞＜[PAD_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|FCResponseBegin|$＞＜doubaothinking_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[SILENT_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[SOGP_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD97_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD68_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD67_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD90_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[eou_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PAD_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD87_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD54_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD75_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD94_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD98_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[/audio_never_used_51bce0c785ca2f68081bfa7d91973934]＞$$＜[UNK_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|FCResponseBegin|$＞＜[UNK_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[eou_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[BOS_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD76_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD79_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[SOGP_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜seed:tool_call_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD72_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜RichMediaReference＞＜/RichMediaCreation＞＜[SOG_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜escapeShell ＜[PLHD73_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|card|$＞:＜[eou_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/parameter_never_used_51bce0c785ca2f68081bfa7d91973934＞＜/answer_never_used_51bce0c785ca2f68081bfa7d91973934＞＜RichMediaCreation＞＜[PAD_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[botu_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD57_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|FCResponseEnd|$＞＜[PLHD67_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD86_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/doubaothinking_never_used_51bce0c785ca2f68081bfa7d91973934＞＜reflection_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD97_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD76_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD58_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/RichMediaCreation＞＜[PLHD83_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD75_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[audio_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD81_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD81_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD90_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[SPEAK_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/answer_never_used_51bce0c785ca2f68081bfa7d91973934＞＜$|paragraph|$＞:＜[PLHD100_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD73_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD84_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD80_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD64_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD72_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[EOG_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD60_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|superscript|$＞:＜reflection_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD67_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜RichMediaCreation＞＜[PLHD84_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD65_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜escapeShell ＜[PLHD77_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD76_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜escapeShell ＜[PLHD97_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[/audio_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD96_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD100_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD88_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD92_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD55_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|FCResponseBegin|$＞＜/function_never_used_51bce0c785ca2f68081bfa7d91973934＞＜doubaothinking_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD90_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/seed:tool_call_never_used_51bce0c785ca2f68081bfa7d91973934＞＜$|paragraph|$＞:＜[botu_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD58_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/reflection_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD82_never_used_51bce0c785ca2f68081bfa7d91973934]＞$$＜/RichMediaReference＞＜/answer_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[PLHD86_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD82_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/escapeShell＞＜[PLHD71_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD56_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD79_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD75_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜hiddenthink＞＜[PLHD82_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD60_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|FCResponseEnd|$＞＜[PLHD55_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD95_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/doubaothinking_never_used_51bce0c785ca2f68081bfa7d91973934＞＜[SOG_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[eou_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD87_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜/RichMediaReference＞＜[eotu_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜$|paragraph|＞:＜|paragraph|$＞:＜[/audio_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜hiddenthink＞＜function_never_used_51bce0c785ca2f68081bfa7d91973934=＜[PLHD54_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD87_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[PLHD97_never_used_51bce0c785ca2f68081bfa7d91973934]＞＜[CLS_never_used_51bce0c785ca2f68081bfa7d91973934]＞$

未检测到有效的具体数学题目核心内容，请补充完整题目对应的已知条件、待求解/证明的问题等完整信息后，即可输出符合苏科版七年级下册学段要求的规范解题过程。

23. (7 分)(1)若 $ 3^x = 4, 3^y = 6 $，求 $ 9^{2x - y} + 27^{x - y} $ 的值；
(2)若 $ 2^6 = a^2 = 4^b $，求 $ a + b $ 的值.

【点拨】本题考查幂的乘方,同底数幂的除法的逆运算,代数式求值,解题的关键是掌握以上运算法则.
【解析】(1)因为$3^x = 4$,$3^y = 6$,
所以 $9^{2x - y} + 27^{x - y}$
$=(3^2)^{2x - y} + (3^3)^{x - y}$
$=3^{4x - 2y} + 3^{3x - 3y}$
$=3^{4x} ÷ 3^{2y} + 3^{3x} ÷ 3^{3y}$
$=(3^x)^4 ÷ (3^y)^2 + (3^x)^3 ÷ (3^y)^3$
$=4^4 ÷ 6^2 + 4^3 ÷ 6^3$
$=\frac{256}{36} + \frac{64}{216}$
$=\frac{200}{27}$.
(2)因为$2^6 = (2^3)^2 = 8^2 = a^2$,$2^6 = (2^2)^3 = 4^3 = 4^b$,所以$a = ±8$,$b = 3$,所以$a + b = 8 + 3 = 11$或$a + b = -8 + 3 = -5$.