Question

simplify. express your answer using a single exponent.
$(m^{-1})^3$

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, \(a = m\), \(m=-1\), and \(n = 3\).

Step2: Apply the power of a power rule

Using the rule \((m^{-1})^3=m^{-1\times3}\)

Step3: Simplify the exponent

Calculate \(-1\times3=-3\), so \((m^{-1})^3 = m^{-3}\)

Answer:

\(m^{-3}\)