Precalculus Examples

$x^{- \frac{1}{5}} \cdot x^{\frac{6}{5}}$

Step 1

Multiply $x^{- \frac{1}{5}}$ by $x^{\frac{6}{5}}$ 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.

$x^{- \frac{1}{5} + \frac{6}{5}}$

Step 1.2

Combine the numerators over the common denominator.

$x^{\frac{- 1 + 6}{5}}$

Step 1.3

Add $- 1$ and $6$ .

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

Step 1.4

Divide $5$ by $5$ .

$x^{1}$

Step 2

Simplify $x^{1}$ .

$x$