Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Oct 31, 2023

Evaluate the expression $8^{-2}$ and write the answer as a fraction or whole number without exponents.

STEP 1

Assumptions1. We are asked to evaluate the expression $8^{-}$ . The exponent is negative, which means we need to take the reciprocal of the base3. We are asked to write the answer as a fraction or whole number without exponents

STEP 2

First, let's understand what $8^{-2}$ means. A negative exponent means we take the reciprocal of the base.
$8^{-2} = \frac{1}{8^{2}}$

STEP 3

Now, we need to calculate $8^{2}$ , which means8 multiplied by itself.
$8^{2} =8 \times8$

STEP 4

Calculate the value of $8^{2}$ .
$8^{2} =8 \times8 =64$

STEP 5

Now, substitute the value of $8^{2}$ back into the reciprocal.
$\frac{1}{8^{2}} = \frac{1}{64}$ So, $8^{-2} = \frac{1}{64}$ .

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