Algebra Examples

$\frac{18 x^{- 5}}{- 3 x^{- 3}}$

Step 1

Move $x^{- 5}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{18}{- 3 x^{- 3} x^{5}}$

Step 2

Multiply $x^{- 3}$ by $x^{5}$ by adding the exponents.

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Step 2.1

Move $x^{5}$ .

$\frac{18}{- 3 (x^{5} x^{- 3})}$

Step 2.2

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

$\frac{18}{- 3 x^{5 - 3}}$

Step 2.3

Subtract $3$ from $5$ .

$\frac{18}{- 3 x^{2}}$

Step 3

Cancel the common factor of $18$ and $- 3$ .

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Step 3.1

Factor $3$ out of $18$ .

$\frac{3 (6)}{- 3 x^{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $3$ out of $- 3 x^{2}$ .

$\frac{3 (6)}{3 (- x^{2})}$

Step 3.2.2

Cancel the common factor.

$\frac{3 \cdot 6}{3 (- x^{2})}$

Step 3.2.3

Rewrite the expression.

$\frac{6}{- x^{2}}$

Step 4

Move the negative in front of the fraction.

$- \frac{6}{x^{2}}$