Question

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

Explanation:

Step1: Expand the exponent expression

$(5 \cdot 2)^4 = (5 \cdot 2) \cdot (5 \cdot 2) \cdot (5 \cdot 2) \cdot (5 \cdot 2)$

Step2: Simplify the product

First calculate $5 \cdot 2 = 10$, then $10 \cdot 10 \cdot 10 \cdot 10 = 10000$

Answer:

The equivalent expression using $(5 \cdot 2)$ as a factor is $\boldsymbol{(5 \cdot 2) \cdot (5 \cdot 2) \cdot (5 \cdot 2) \cdot (5 \cdot 2)}$, and the simplified value is $\boldsymbol{10000}$