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第69页

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$5a^{2}$

$3^{6}$

$-m^{10}$

$6.4\times10^{16}$

 解：$[(-\frac{1}{2}a^{3}b^{2})^{5}]^{2}=(-\frac{1}{2}a^{3}b^{2})^{10}=(-\frac{1}{2})^{10}(a^{3})^{10}(b^{2})^{10}=\frac{1}{2^{10}}a^{30}b^{20}。$

 解：$7x^{3}\cdot x^{6}\cdot(x^{2})^{3}-(2x^{5})^{3}=7x^{3 + 6}\cdot x^{6}-8x^{15}=7x^{9}\cdot x^{6}-8x^{15}=7x^{15}-8x^{15}=-x^{15}。$

解$：(1)$原式$=(-5)^{2023}×(-5)×(-\frac {1}{5})^{2023}$

$=[-5×(-\frac {1}{5})]^{2023}×(-5)$

$=1×(-5)$

$=-5$

$(2)$原式$=(-0.125)^2×(-8)^2×(-8)^{11}×(-1\frac {2}{3})^7×(-\frac {3}{5})^7×(-\frac {3}{5})$

$=[-0.125×(-8)]^2×(-8)^{11}×1×(-\frac {3}{5})$

$=\frac {3}{5}×8^{11}$

解​$：∵ A=8x^3y^6-x^3y^6=7x^3y^6，B=5x^3y^6，$​
​$∴ A-B=2x^3y^6.$​
当​$x=3，$​​$y=1$​时​$，A-B=2x^3y^6=2×3^3×1^6=54$​