Algebra Examples

$y = 2 {(4)}^{- 2}$

Step 1

Remove parentheses.

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

Step 2

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

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Step 2.1

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

$y = 2 \cdot \frac{1}{4^{2}}$

Step 2.2

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

$y = 2 \cdot \frac{1}{16}$

Step 2.3

Cancel the common factor of $2$ .

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Step 2.3.1

Factor $2$ out of $16$ .

$y = 2 \cdot \frac{1}{2 (8)}$

Step 2.3.2

Cancel the common factor.

$y = 2 \cdot \frac{1}{2 \cdot 8}$

Step 2.3.3

Rewrite the expression.

$y = \frac{1}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = \frac{1}{8}$

Decimal Form:

$y = 0.125$