Algebra Examples

$2^{4} \cdot 4^{- 2}$

Step 1

Raise $2$ to the power of $4$ .

$16 \cdot 4^{- 2}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$16 \cdot \frac{1}{4^{2}}$

Step 3

Raise $4$ to the power of $2$ .

$16 \cdot \frac{1}{16}$

Step 4

Cancel the common factor of $16$ .

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Step 4.1

Cancel the common factor.

$16 \cdot \frac{1}{16}$

Step 4.2

Rewrite the expression.

$1$