Question

Simplifying exponents (picture provided)

Answer 1

The answer would be
`3^(2)`.

Explanation:

-Solve the following equation:

`3^(-6) * ( 3^(4) / 3^(0))^(2)`

-When dividing integers, the exponents would subtract each other. So, you subtract exponent
`0` and
`4`:

`3^(-6) * ( 3^(4) / 3^(0))^(2)`

`3^(-6) * ( 3^(4))^(2)`

-Simplify
`3^(4)` by the exponent
`2`:

`3^(-6) * ( 3^(4))^(2)`

`3^(-6) * 3^(8)`

-When multiplying integers, the exponent would add up together. So, you would add
`-6` and
`8`:

`3^(-6) * 3^(8)`

`3^(2)`

So, the answer is
`3^(2)`.

Answer 2

3^2 ; Option B

Explanation:

We are given the equation 3^ -6 * ( 3^4 / 3^0 )^2, which can be solved through the application of exponential rules;

`3^( - 6 ) * ( 3^( 4 ) / 3^( 0 ) )^(2) - take 3^( 0 ) as 1,\\\\3^( - 6 ) * ( 3^( 4 ) / 1 )^(2) - take 3^(4) to power of 2, ( * of exponents ),\\\\3^( - 6 ) * ( 3^( 8 ) ) - combine powers, adding exponents,\\\\3^( - 6 + 8 ) - add like terms,\\\\3^(2) \\\\Solution; 3^(2)`

3^2 ; Option B