Question

simplify. express your answer using exponents. ((9h^{-5})^{-1})

Explanation:

Step1: Apply power of a power rule

$(gh^{-5})^{-1} = g^{-1} \cdot (h^{-5})^{-1}$

Step2: Simplify exponents

$g^{-1} \cdot h^{(-5) \times (-1)} = g^{-1}h^{5}$

Step3: Rewrite positive exponent form

$g^{-1}h^{5} = \frac{h^5}{g}$

Answer:

$\frac{h^5}{g}$ or $g^{-1}h^5$