Sure, let's break down the expression [tex]\(2^{-2}\)[/tex] in a step-by-step manner.
1. Understand the Negative Exponent: The negative exponent [tex]\(2^{-2}\)[/tex] tells us that instead of multiplying, we need to divide by the base raised to the positive exponent.
[tex]\[
2^{-2} = \frac{1}{2^2}
\][/tex]
2. Calculate the Positive Exponent: First, let's calculate [tex]\(2^2\)[/tex].
[tex]\[
2^2 = 2 \times 2 = 4
\][/tex]
3. Invert the Value: Since the initial exponent was negative, we take the reciprocal of [tex]\(2^2\)[/tex].
[tex]\[
2^{-2} = \frac{1}{4}
\][/tex]
So,
[tex]\[
2^{-2} = \frac{1}{4} = 0.25
\][/tex]
Therefore, [tex]\(2^{-2} = 0.25\)[/tex].
