Question

8 (7x^2)^-6

Explanation:

Step1: Apply power - of - a - product rule

$(ab)^n=a^n\times b^n$, so $(7x^{2})^{-6}=7^{-6}\times(x^{2})^{-6}$

Step2: Apply power - of - a - power rule

$(a^m)^n=a^{mn}$, so $(x^{2})^{-6}=x^{-12}$

Step3: Rewrite with positive exponents

$a^{-n}=\frac{1}{a^{n}}$, so $7^{-6}=\frac{1}{7^{6}}$ and the expression becomes $\frac{1}{7^{6}x^{12}}$

Step4: Calculate $7^{6}$

$7^{6}=117649$

Answer:

$\frac{1}{117649x^{12}}$