Algebra Examples

$\frac{x^{5} \cdot x^{- 3}}{x^{- 5}}$

Step 1

Multiply $x^{5}$ 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.

$\frac{x^{5 - 3}}{x^{- 5}}$

Step 1.2

Subtract $3$ from $5$ .

$\frac{x^{2}}{x^{- 5}}$

Step 2

Move $x^{- 5}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$x^{2} x^{5}$

Step 3

Multiply $x^{2}$ by $x^{5}$ 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.

$x^{2 + 5}$

Step 3.2

Add $2$ and $5$ .

$x^{7}$