Algebra Examples

$\frac{- 6^{- 2} x^{0} z^{- 6}}{2 y^{- 4}}$

Step 1

Simplify.

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Step 1.1

Move $6^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{- 1 z^{- 6}}{2 y^{- 4} \cdot 6^{2}}$

Step 1.2

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

$\frac{- 1}{2 y^{- 4} \cdot 6^{2} z^{6}}$

Step 1.3

Move $y^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{- y^{4}}{2 \cdot 6^{2} z^{6}}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $6$ to the power of $2$ .

$\frac{- y^{4}}{2 \cdot 36 z^{6}}$

Step 2.2

Multiply $2$ by $36$ .

$\frac{- y^{4}}{72 z^{6}}$

Step 3

Move the negative in front of the fraction.

$- \frac{y^{4}}{72 z^{6}}$