Question

first, write an equivalent expression using (5 · 2) as a factor. (5 · 2)(5 · 2)(5 · 2)(5 · 2) (5 · 2) (5 · 2) (5 · 2) (5 · 2) (5 · 2)^4 means (5 · 2) is a factor 4 times.

Explanation:

Step1: Recall exponent rule

The exponent $n$ in $a^n$ means $a$ is a factor $n$ times. Here $a=(5\cdot2)$ and $n = 4$.

Step2: Write equivalent expression

$(5\cdot2)^4=(5\cdot2)(5\cdot2)(5\cdot2)(5\cdot2)$

Answer:

$(5\cdot2)(5\cdot2)(5\cdot2)(5\cdot2)$