Question

question
simplify:
$(m^5)^3$
answer attempt 1 out of 2

Explanation:

Step1: Recall exponent rule

To simplify \((m^5)^3\), we use the power - of - a - power rule, which states that \((a^m)^n=a^{m\times n}\) for any real number \(a\) and integers \(m\) and \(n\).

Step2: Apply the rule

Here, \(a = m\), \(m = 5\) and \(n=3\). So we multiply the exponents: \(5\times3 = 15\). Then \((m^5)^3=m^{5\times3}=m^{15}\).

Answer:

\(m^{15}\)