Question
Simplify, giving Solution with positive index
$\frac{\left(5 x^7\right)^3 \cdot\left(10 x^2\right)^2}{\left(2 x^6\right)^7}=\frac{5^3 x^{7 \times 3} \cdot 10^2 \cdot x^{2 \times 2}}{2^7 \cdot x^{6 \times 7}}$
$\frac{\left(5 x^7\right)^3 \cdot\left(10 x^2\right)^2}{\left(2 x^6\right)^7}=\frac{5^3 x^{7 \times 3} \cdot 10^2 \cdot x^{2 \times 2}}{2^7 \cdot x^{6 \times 7}}$
