Question

simplify. express your answer using a single exponent.
$(h^{8})^{-3}$

Explanation:

Step1: Recall the power of a power rule

The power of a power rule states that \((a^m)^n = a^{m \times n}\). Here, \(a = h\), \(m = 8\), and \(n=- 3\).

Step2: Apply the rule

Using the power of a power rule, we multiply the exponents: \(8\times(-3)=- 24\). So, \((h^{8})^{-3}=h^{-24}\) (or we can also write it as \(\frac{1}{h^{24}}\) but since the problem asks to express using a single exponent, \(h^{-24}\) is also a valid form with a single exponent).

Answer:

\(h^{-24}\) (or \(\frac{1}{h^{24}}\) is also correct but \(h^{-24}\) is a single exponent form as required)