Calculus Examples

${(x^{\frac{r}{s}})}^{\frac{s}{r}}$

Step 1

Multiply the exponents in ${(x^{\frac{r}{s}})}^{\frac{s}{r}}$ .

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Step 1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$x^{\frac{r}{s} \cdot \frac{s}{r}}$

Step 1.2

Cancel the common factor of $r$ .

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Step 1.2.1

Cancel the common factor.

$x^{\frac{r}{s} \cdot \frac{s}{r}}$

Step 1.2.2

Rewrite the expression.

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

Step 1.3

Cancel the common factor of $s$ .

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Step 1.3.1

Cancel the common factor.

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

Step 1.3.2

Rewrite the expression.

$x^{1}$

Step 2

Simplify.

$x$