Question

simplify. express your answer using exponents.
$(a^{-10}h^{2})^{9}$

Explanation:

Step1: Apply power of a product rule

The power of a product rule states that \((ab)^n = a^n b^n\). So for \((a^{-10}h^{2})^{9}\), we can apply this rule to get \(a^{-10\times9}h^{2\times9}\).

Step2: Simplify the exponents

Calculate the exponents: \(- 10\times9=-90\) and \(2\times9 = 18\). So the expression becomes \(a^{-90}h^{18}\).

Answer:

\(a^{-90}h^{18}\)