Question

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Answer 1

1)

$\left(\dfrac{a^7}{b^2}\right)^3=\dfrac{a^{21}}{b^6}$

2)

$\left(-\dfrac{4m^2}{5n}\right)^2=\dfrac{16m^4}{25n^2}$

3)

$\left(-\dfrac{7x^2b^3}{2y^4z^5}\right)^3=-\dfrac{343x^6b^9}{8y^{12}z^{15}}$

4)

$\left(-\dfrac{3a^4b^3}{8m^4}\right)^2\cdot\left(-\dfrac{2m^2}{3a^3b^2}\right)^3=\dfrac{9a^8b^6}{64m^8}\cdot\left(-\dfrac{8m^6}{27a^9b^6}\right)=-\dfrac{9a^8b^6\cdot8m^6}{64m^8\cdot27a^9b^6}\div\dfrac{9\cdot8\cdot m^6\cdot a^8b^6}{9\cdot8\cdot m^6\cdot a^8b^6}\\\\=\dfrac{1}{24am^2}$