三、解答题(第14题20分,第15,16题每题10分,第17题12分,共52分)
答案
14. 计算:
(1) $x^{2}\cdot x^{3}\cdot x^{4} + (x^{3})^{3}$; (2) $(a^{m})^{2}\cdot a^{m}\div (-a^{2m})$ ($m$是正整数);
(3) $(-2x)^{6} - (-3x^{3})^{2} - [- (2x)^{2}]^{3}$; (4) $(-1)^{-3} + (\frac{1}{3})^{-3}\div | - 3|^{2} + (1 - \frac{1}{3})^{0}$.
(1) $x^{2}\cdot x^{3}\cdot x^{4} + (x^{3})^{3}$; (2) $(a^{m})^{2}\cdot a^{m}\div (-a^{2m})$ ($m$是正整数);
(3) $(-2x)^{6} - (-3x^{3})^{2} - [- (2x)^{2}]^{3}$; (4) $(-1)^{-3} + (\frac{1}{3})^{-3}\div | - 3|^{2} + (1 - \frac{1}{3})^{0}$.
答案
15. 计算:
(1) $(m - n)^{9}\cdot (n - m)^{8}\div (m - n)^{2}$;
(2) $(x + y - z)^{3}\cdot (z - x - y)^{2}\cdot (x - z + y)^{5}$.
(1) $(m - n)^{9}\cdot (n - m)^{8}\div (m - n)^{2}$;
(2) $(x + y - z)^{3}\cdot (z - x - y)^{2}\cdot (x - z + y)^{5}$.
答案
16. 计算:
(1) $3^{14}\times (-\frac{1}{9})^{7}$; (2) $(-0.25)^{100}\times 4^{99}$.
(1) $3^{14}\times (-\frac{1}{9})^{7}$; (2) $(-0.25)^{100}\times 4^{99}$.
答案
17. 已知:$4^{m} = a,8^{n} = b(m,n$是正整数).
(1) 求$2^{2m + 3n}$的值;
(2) 求$2^{4m - 6n}$的值.
(1) 求$2^{2m + 3n}$的值;
(2) 求$2^{4m - 6n}$的值.
答案
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