Question

Simplify ( 5^2x7^4 ) 10

Answer 1

5^20 • 7^40

Explanation:

each exponent needs to multiply each 10.

Answer 2

D.
`5^(20)` x
`7^(40)`

Explanation:

Original Equation=
`(5^2 \cdot 7^4)^(10)`

Apply exponent rule:
`(a\cdot b) ^n` =
`a^n`
`b^n`

=
`(5^2)^(10)` x
`(7^4)^(10)`

Distribute them

=
`5^(20)` x
`(7^4)^(10)`

=
`5^(20)` x
`7^(40)`

Hope this helps!