Algebra Examples

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

Step 1

Multiply $x^{- 6}$ 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.

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

Step 1.2

Add $- 6$ and $7$ .

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

Step 2

Simplify $x^{1}$ .

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

Step 3

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

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Step 3.1

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

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

Step 3.2

Factor $x$ out of $x^{1}$ .

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

Step 3.3

Cancel the common factors.

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Step 3.3.1

Factor $x$ out of $x^{6}$ .

$\frac{x \cdot 1}{x \cdot x^{5}}$

Step 3.3.2

Cancel the common factor.

$\frac{x \cdot 1}{x \cdot x^{5}}$

Step 3.3.3

Rewrite the expression.

$\frac{1}{x^{5}}$