Question

which expression is equivalent to ((b^n)^m)?

a. (b^{n - m})

b. (b^{n + m})

c. (b^{n cdot m})

d. (b^{n div m})

Explanation:

Step1: Recall exponent rule

The power of a power rule states that \((a^n)^m = a^{n \cdot m}\).

Step2: Apply to given expression

For \((b^n)^m\), using the power of a power rule, we get \(b^{n \cdot m}\).

Answer:

C. \(b^{n \cdot m}\)