Question

Help plz I've been stuck

Answer 1

`{5}^4 * {(5^(-3) )}^2`

`5^(4) * 5^(-6) = 5^(-2)`

`5^(-2) = (1)/(5^(2) ) = {((1)/(5))}^2`

Alternative D)

See exponent/power properties for help.

Answer 2

The answer is D.
`((1)/(5) )^(2)`

Explanation:

`5^(4) *(5^(-3) )^(2)`

simplify the expression by multiplying

`5^(4) *5^(-6)`

calculate the product

`5^(-2)`

express with a positive exponent using
`a^(-n) =(1)/(a^(n) )`

`(1)/(5^(2) )`