Basic Math Examples

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

Step 1

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

$z^{3 - 1} z$

Step 2

Multiply $z^{3 - 1}$ by $z$ by adding the exponents.

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Step 2.1

Multiply $z^{3 - 1}$ by $z$ .

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Step 2.1.1

Raise $z$ to the power of $1$ .

$z^{3 - 1} z^{1}$

Step 2.1.2

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

$z^{3 - 1 + 1}$

Step 2.2

Subtract $1$ from $3$ .

$z^{2 + 1}$

Step 2.3

Add $2$ and $1$ .

$z^{3}$