Pre-Algebra Examples

$\frac{z^{\frac{3}{3} Z^{- \frac{1}{4}}}}{z^{\frac{1}{3}}}$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Cancel the common factor.

$\frac{z^{\frac{3}{3} Z^{- \frac{1}{4}}}}{z^{\frac{1}{3}}}$

Step 1.2

Rewrite the expression.

$\frac{z^{1 Z^{- \frac{1}{4}}}}{z^{\frac{1}{3}}}$

Step 2

Factor $z^{\frac{1}{3}}$ out of $z^{1 Z^{- \frac{1}{4}}}$ .

$\frac{z^{\frac{1}{3}} z^{1 Z^{- \frac{1}{4}} - \frac{1}{3}}}{z^{\frac{1}{3}}}$

Step 3

Cancel the common factors.

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Step 3.1

Multiply by $1$ .

$\frac{z^{\frac{1}{3}} z^{1 Z^{- \frac{1}{4}} - \frac{1}{3}}}{z^{\frac{1}{3}} \cdot 1}$

Step 3.2

Cancel the common factor.

$\frac{z^{\frac{1}{3}} z^{1 Z^{- \frac{1}{4}} - \frac{1}{3}}}{z^{\frac{1}{3}} \cdot 1}$

Step 3.3

Rewrite the expression.

$\frac{z^{1 Z^{- \frac{1}{4}} - \frac{1}{3}}}{1}$

Step 3.4

Divide $z^{1 Z^{- \frac{1}{4}} - \frac{1}{3}}$ by $1$ .

$z^{1 Z^{- \frac{1}{4}} - \frac{1}{3}}$

Step 4

Simplify each term.

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Step 4.1

Multiply $Z^{- \frac{1}{4}}$ by $1$ .

$z^{Z^{- \frac{1}{4}} - \frac{1}{3}}$

Step 4.2

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

$z^{\frac{1}{Z^{\frac{1}{4}}} - \frac{1}{3}}$