Question

Plsss help right answers only with explaintion.

Answer 1

`(5^6)/(4^2)`

Explanation:

First, break the question down into individual parts:

For
`4^(-2)`:

Use the exponent law that states
`a^(-m)=(1)/(a^m)`

For this problem, let a=4 and m=-2

So,

`4^(-2)=(1)/(4^2)`

For
`8^0`:

Use the exponent rule that states
`a^0=1`

For this problem, let a=8

So,

`8^0=1`

Since the prompt states the solution must have positive exponents and
`5^6` already has positive exponents, it can be assumed
`5^6` does not need to be manipulated.

Next, insert the derived values above into the original problem:

`4^(-2)*8^0*5^6\\((1)/(4^2))(1)(5^6)\\(5^6)/(4^2)`

Answer 2

Last option

Explanation:

Writing
`4^(-2)` is the same as (to remove a negative power we put it under 1) :

1/4²

`8^(0)` = 1 (anything to the power of 0 is 1)

`5^(6)` can stay as it is

Now we have 1/4² × 1 ×
`5^(6)` =

`5^(6)` / 4²

Which is the last option

Hope this helped and have a good day