Pre-Algebra Examples

$\frac{z^{- 6}}{z}$

Step 1

Move $z^{- 6}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{z \cdot z^{6}}$

Step 2

Multiply $z$ by $z^{6}$ by adding the exponents.

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Step 2.1

Multiply $z$ by $z^{6}$ .

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Step 2.1.1

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

$\frac{1}{z^{1} z^{6}}$

Step 2.1.2

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

$\frac{1}{z^{1 + 6}}$

Step 2.2

Add $1$ and $6$ .

$\frac{1}{z^{7}}$