DOITJAKEY
Answered

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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

Sagot :

Hrishii

Answer:

16, 1/16

Step-by-step explanation:

[tex](4)^2 =16[/tex]

[tex](4)^{-2} =\frac{1}{16}[/tex]

Hope it helps you in your learning process.

[tex]\large{\textsf{\textbf{Answer\::}}[/tex]

Option B

[tex]\large{\textsf{\textbf{Calculations\::}}[/tex]

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

[tex]\textbf{\textsf{$4^2$}}[/tex]

So we multiply 4 times itself .

The answer is :

[tex]\textsf{\textbf{16}}[/tex]

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 = [tex]\mathsf{\dfrac{1}{16} }[/tex]

So the right option is :

[tex]\bigcirc[/tex] 16 , -16

[tex]\bigcirc\!\!\!\!\!\!\bigstar[/tex] 16 , 1/16

[tex]\bigcirc[/tex] 8 , -8

[tex]\bigcirc[/tex] 8 , 1/8

(Option B is right)

[tex]\footnotesize\text{hope\:helpful~}[/tex]

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