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1. $(10^{4})^{3} = $
$10^{12}$
；$-(y^{3})^{4} = $$-y^{12}$
答案
1. $10^{12}$，$-y^{12}$
2. $(-x^3)^2 · (-x^2)^3 =$
$[ ( -\dfrac{2}{3} )^2 ]^3 =$
$-x^{12}$
；$[ ( -\dfrac{2}{3} )^2 ]^3 =$
$(\dfrac{2}{3})^6$或$\dfrac{64}{729}$
。答案
2. $-x^{12}$，$(\dfrac{2}{3})^6$或$\dfrac{64}{729}$
3. $ x^{32} = (\_\_\_\_\_\_)^2 = (\_\_\_\_\_\_)^4 $
答案
$x^{16}$，$x^{8}$
4. (
$a^{3}b^{2n-1}$
)2 = a6b4n-2答案
4. $a^{3}b^{2n-1}$
5.已知$16^2 × 4^3 × 2^6 = 2^{2x-1}, [(10)^2]^y = 10^{12}$，则$2x + y$的值是
27
。答案
5. 27
6.已知$a^{3n}=4$，则$a^{6n+1}=$
$16a$
。答案
6. $16a$
7. 下列计算正确的是 …………【 】
A.$(a^3)^2 = a^5$
B.$x^4 · x^4 = x^{16}$
C.$a(a^2)^4 = a^8$
D.$a + 2a = 3a$
A.$(a^3)^2 = a^5$
B.$x^4 · x^4 = x^{16}$
C.$a(a^2)^4 = a^8$
D.$a + 2a = 3a$
答案
D
8. 下列等式成立的是 …………【 】
A.$(a^4)^4 = a^4 · a^4$
B.$(a^2)^6 = (a^4)^4$
C.$(a^2)^6 = (a^3)^4$
D.$(a^6)^2 = (a^4)^8$
A.$(a^4)^4 = a^4 · a^4$
B.$(a^2)^6 = (a^4)^4$
C.$(a^2)^6 = (a^3)^4$
D.$(a^6)^2 = (a^4)^8$
答案
C
9. 计算$(-\dfrac{1}{3})^3 · (x^2)^3$的结果是 【 】
A.$-x^6$
B.$\dfrac{1}{9}x^6$
C.$-\dfrac{1}{27}x^6$
D.$-\dfrac{1}{27}x^5$
A.$-x^6$
B.$\dfrac{1}{9}x^6$
C.$-\dfrac{1}{27}x^6$
D.$-\dfrac{1}{27}x^5$
答案
C
10.若$2· 4^x· 8^x=2^{21}$，则x等于【 】
A.4
B.5
C.6
D.7
A.4
B.5
C.6
D.7
答案
A
11.如果$a^m = 3$，$2^n = 8$，那么$(a^m)^n$等于 ……………………【 】
A.9
B.24
C.27
D.111
A.9
B.24
C.27
D.111
答案
C
12.计算:
(1)$(x^4)^2 + (x^2)^4 - x(x^2)^2 · (-x)^3$.
(2)$[(x - y)^2]^3 + [(y - x)^3]^2$.
13.若$2x + 5y - 16 = 0$,求$4^x · 32^y$的值.
14.若$x^m = 4, x^n = 3$,求$x^{2m} + x^{2n}$的值.
(1)$(x^4)^2 + (x^2)^4 - x(x^2)^2 · (-x)^3$.
(2)$[(x - y)^2]^3 + [(y - x)^3]^2$.
13.若$2x + 5y - 16 = 0$,求$4^x · 32^y$的值.
14.若$x^m = 4, x^n = 3$,求$x^{2m} + x^{2n}$的值.
答案
12. (1) $3x^8$
(2) $2(x-y)^6$
13. $2^{2x+5y}=2^{16}$
14. $(x^m)^2 + (x^n)^2 = 25$
(2) $2(x-y)^6$
13. $2^{2x+5y}=2^{16}$
14. $(x^m)^2 + (x^n)^2 = 25$
