Answered

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Rewrite without exponents:
[tex]\[ 2^{-2} = \][/tex]

Sagot :

GinnyAnswer
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].
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