Question

What is 2 with an exponent of -2 equal to?

Answer 1

`=(1)/(4)`

Explanation:

`2^(-2)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^(-b)=(1)/(a^b)\\2^(-2)=(1)/(2^2)\\=(1)/(2^2)\\2^2=4\\=(1)/(4)`

Answer 2

`\boxed{(1)/(4) }`

Explanation:

`{2}^( - 2) = \frac{1}{ {2}^(2) } \\ \\ \: \: \: \: \: \: \: \: \: = (1)/(4)`

`Negative \: exponent \\ \\ = > {a}^(-x) = \frac{1}{{a}^(x)}`