Question

Please need help:

The expressions 4(4^2)(8*2) and 4^5 are equivalent.

Show how the two expressions are equivalent. Describe the steps that can be applied to 4(4^2)(8*2) to create two equivalent expression 4^5

Answer 1

Answer:

$4(4^2)(8*2)=4^5$

Step-by-step explanation:

First note, we can write the product 8*2 as power of 4

$8*2=16=4^2$

with substitution we get

$4(4^2)(8*2)=4(4^2)(4^2)$

and simplifying, using properties of exponents we get

$4(4^2)(8*2)=4(4^2)(4^2)=4^{1+2+2}=4^5$