Algebra Examples

$\frac{x^{6}}{x^{- 1} \cdot x^{7}}$

Step 1

Multiply $x^{- 1}$ by $x^{7}$ 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.

$\frac{x^{6}}{x^{- 1 + 7}}$

Step 1.2

Add $- 1$ and $7$ .

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

Step 2

Cancel the common factor of $x^{6}$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

$1$