Algebra Examples

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

Step 1

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

$\frac{1}{{(4 x y)}^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to $4 x y$ .

$\frac{1}{{(4 x)}^{2} y^{2}}$

Step 2.2

Apply the product rule to $4 x$ .

$\frac{1}{4^{2} x^{2} y^{2}}$

Step 2.3

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

$\frac{1}{16 x^{2} y^{2}}$