Basic Math Examples

$\frac{z^{\frac{5}{8}}}{z^{\frac{3}{8}}}$

Step 1

Move $z^{\frac{3}{8}}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$z^{\frac{5}{8}} z^{- \frac{3}{8}}$

Step 2

Multiply $z^{\frac{5}{8}}$ by $z^{- \frac{3}{8}}$ by adding the exponents.

Tap for more steps...

Step 2.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$z^{\frac{5}{8} - \frac{3}{8}}$

Step 2.2

Combine the numerators over the common denominator.

$z^{\frac{5 - 3}{8}}$

Step 2.3

Subtract $3$ from $5$ .

$z^{\frac{2}{8}}$

Step 2.4

Cancel the common factor of $2$ and $8$ .

Tap for more steps...

Step 2.4.1

Factor $2$ out of $2$ .

$z^{\frac{2 (1)}{8}}$

Step 2.4.2

Cancel the common factors.

Tap for more steps...

Step 2.4.2.1

Factor $2$ out of $8$ .

$z^{\frac{2 \cdot 1}{2 \cdot 4}}$

Step 2.4.2.2

Cancel the common factor.

$z^{\frac{2 \cdot 1}{2 \cdot 4}}$

Step 2.4.2.3

Rewrite the expression.

$z^{\frac{1}{4}}$