Algebra Examples

$\frac{x \cdot x^{- 4}}{x^{3}}$

Step 1

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

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Step 1.1

Multiply $x$ by $x^{- 4}$ .

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Step 1.1.1

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

$\frac{x^{1} \cdot x^{- 4}}{x^{3}}$

Step 1.1.2

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

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

Step 1.2

Subtract $4$ from $1$ .

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

Step 2

Move $x^{- 3}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 3

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

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Step 3.1

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

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

Step 3.2

Add $3$ and $3$ .

$\frac{1}{x^{6}}$