Algebra Examples

$\frac{7 x^{- 3}}{9 x^{- 4}}$

Step 1

Move $x^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{7 x^{- 3} x^{4}}{9}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply $x^{- 3}$ by $x^{4}$ by adding the exponents.

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Step 2.1.1

Move $x^{4}$ .

$\frac{7 (x^{4} x^{- 3})}{9}$

Step 2.1.2

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

$\frac{7 x^{4 - 3}}{9}$

Step 2.1.3

Subtract $3$ from $4$ .

$\frac{7 x^{1}}{9}$

Step 2.2

Simplify $7 x^{1}$ .

$\frac{7 x}{9}$