Answer
$\dfrac{4x^6}{25}$
Work Step by Step
RECALL:
(i) $\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}, b\ne0$
(ii) $(a^m)^n=a^{mn}$
(iii) $(ab)^n = a^nb^n$
Use rule (i) above to obtain:
$=\dfrac{(2x^3)^2}{5^2}
\\=\dfrac{(2x^3)^2}{5(5)}
\\=\dfrac{(2x^3)^2}{25}$
Use rule (iii) above to obtain:
$=\dfrac{2^2(x^3)^2}{25}
\\=\dfrac{4(x^3)^2}{25}$
Use rule (ii) above to obtain:
$=\dfrac{4x^{3(2)}}{25}
\\=\dfrac{4x^6}{25}$
