Finite Math Examples

${(x^{\frac{1}{4}} z^{2})}^{- \frac{3}{5}}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{{(x^{\frac{1}{4}} z^{2})}^{\frac{3}{5}}}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Apply the product rule to $x^{\frac{1}{4}} z^{2}$ .

$\frac{1}{{(x^{\frac{1}{4}})}^{\frac{3}{5}} {(z^{2})}^{\frac{3}{5}}}$

Step 2.2

Multiply the exponents in ${(x^{\frac{1}{4}})}^{\frac{3}{5}}$ .

Tap for more steps...

Step 2.2.1

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

$\frac{1}{x^{\frac{1}{4} \cdot \frac{3}{5}} {(z^{2})}^{\frac{3}{5}}}$

Step 2.2.2

Multiply $\frac{1}{4} \cdot \frac{3}{5}$ .

Tap for more steps...

Step 2.2.2.1

Multiply $\frac{1}{4}$ by $\frac{3}{5}$ .

$\frac{1}{x^{\frac{3}{4 \cdot 5}} {(z^{2})}^{\frac{3}{5}}}$

Step 2.2.2.2

Multiply $4$ by $5$ .

$\frac{1}{x^{\frac{3}{20}} {(z^{2})}^{\frac{3}{5}}}$

Step 2.3

Multiply the exponents in ${(z^{2})}^{\frac{3}{5}}$ .

Tap for more steps...

Step 2.3.1

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

$\frac{1}{x^{\frac{3}{20}} z^{2 (\frac{3}{5})}}$

Step 2.3.2

Multiply $2 (\frac{3}{5})$ .

Tap for more steps...

Step 2.3.2.1

Combine $2$ and $\frac{3}{5}$ .

$\frac{1}{x^{\frac{3}{20}} z^{\frac{2 \cdot 3}{5}}}$

Step 2.3.2.2

Multiply $2$ by $3$ .

$\frac{1}{x^{\frac{3}{20}} z^{\frac{6}{5}}}$