Algebra Examples

$\frac{x^{- 1}}{{(x y)}^{3}}$

Step 1

Move $x^{- 1}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{{(x y)}^{3} x}$

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to $x y$ .

$\frac{1}{x^{3} y^{3} x}$

Step 2.2

Combine exponents.

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Step 2.2.1

Raise $x$ to the power of $1$ .

$\frac{1}{x^{1} x^{3} y^{3}}$

Step 2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{1}{x^{1 + 3} y^{3}}$

Step 2.2.3

Add $1$ and $3$ .

$\frac{1}{x^{4} y^{3}}$