Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Add $- 4$ and $3$ .

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

Step 2

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

$\frac{1}{x \cdot x}$

Step 3

Multiply $x$ by $x$ .

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