Question

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

Answer 1

Answer:

16, 1/16

Step-by-step explanation:

$(4)^2 =16$

$(4)^{-2} =\frac{1}{16}$

Hope it helps you in your learning process.

Answer 2

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

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 = $\mathsf{\dfrac{1}{16} }$

So the right option is :

$\bigcirc$ 16 , -16

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

$\bigcirc$ 8 , -8

$\bigcirc$ 8 , 1/8

(Option B is right)

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