Algebra Examples

$\frac{x^{- 3} x^{4}}{x^{8}}$

Step 1

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

Tap for more steps...

Step 1.1

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

$\frac{x^{- 3 + 4}}{x^{8}}$

Step 1.2

Add $- 3$ and $4$ .

$\frac{x^{1}}{x^{8}}$

Step 2

Simplify $x^{1}$ .

$\frac{x}{x^{8}}$

Step 3

Cancel the common factor of $x$ and $x^{8}$ .

Tap for more steps...

Step 3.1

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

$\frac{x^{1}}{x^{8}}$

Step 3.2

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

$\frac{x \cdot 1}{x^{8}}$

Step 3.3

Cancel the common factors.

Tap for more steps...

Step 3.3.1

Factor $x$ out of $x^{8}$ .

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

Step 3.3.2

Cancel the common factor.

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

Step 3.3.3

Rewrite the expression.

$\frac{1}{x^{7}}$