Algebra Examples

$w^{- 2} {(4 w)}^{2}$

Step 1

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

$\frac{1}{w^{2}} {(4 w)}^{2}$

Step 2

Simplify the expression.

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Step 2.1

Apply the product rule to $4 w$ .

$\frac{1}{w^{2}} (4^{2} w^{2})$

Step 2.2

Rewrite using the commutative property of multiplication.

$4^{2} \frac{1}{w^{2}} w^{2}$

Step 2.3

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

$16 \frac{1}{w^{2}} w^{2}$

Step 3

Combine $16$ and $\frac{1}{w^{2}}$ .

$\frac{16}{w^{2}} w^{2}$

Step 4

Cancel the common factor of $w^{2}$ .

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Step 4.1

Cancel the common factor.

$\frac{16}{w^{2}} w^{2}$

Step 4.2

Rewrite the expression.

$16$