Question

19. If the base is 4, what is the value if the exponent is 2? What if the exponent is -2?

O 16, -16
O 16, 1/16
O 8,-8
O 8,1/8

Answer 1

`\large{\textsf{\textbf{Answer\::}}`

Option B

`\large{\textsf{\textbf{Calculations\::}}`

If the base is 4 , and the exponent is 2 , then the expression looks as follows :

`\textbf{\textsf{$4^2$}}`

So we multiply 4 times itself .

The answer is :

`\textsf{\textbf{16}}`

Detail : 4² is not equal to 4×2 , and here's why .

4² = 4 × 4 = 16

4 × 2 = 8

Now , if the exponent is negative , then we turn the number over as follows :

4⁻² =
`\mathsf{(1)/(16) }`

So the right option is :

`\bigcirc` 16 , -16

`\bigcirc\!\!\!\!\!\!\bigstar` 16 , 1/16

`\bigcirc` 8 , -8

`\bigcirc` 8 , 1/8

(Option B is right)

`\footnotesize\text{hope\:helpful~}`

Answer 2

16, 1/16

Explanation:

`(4)^2 =16`

`(4)^(-2) =(1)/(16)`

Hope it helps you in your learning process.