Math / Numbers & Operations

Question $\frac{1}{256}$
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Studdy Solution

STEP 1

1. The expression $\frac{1}{256}$ can be rewritten in exponential or power notation.
2. We need to identify the base and the exponent that represent $256$ as a power.
3. The final goal is to express $\frac{1}{256}$ in the form of $a^b$ , where $a$ is a base and $b$ is an exponent.

STEP 2

1. Determine the base and exponent for $256$ .
2. Rewrite $\frac{1}{256}$ using the base and exponent identified.

STEP 3

Identify the base and exponent for $256$ .
$256 = 2^8$

STEP 4

Use the fact that $\frac{1}{a^b} = a^{-b}$ to rewrite $\frac{1}{256}$ .
$\frac{1}{256} = \frac{1}{2^8} = 2^{-8}$
The expression $\frac{1}{256}$ in exponential notation is $2^{-8}$ .

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