Basic Math Examples

$\frac{{(- 8)}^{- 2} d^{- 6}}{5 c^{- 1}}$

Step 1

Simplify the expression.

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Step 1.1

Move ${(- 8)}^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{d^{- 6}}{5 c^{- 1} {(- 8)}^{2}}$

Step 1.2

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

$\frac{1}{5 c^{- 1} {(- 8)}^{2} d^{6}}$

Step 1.3

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

$\frac{c}{5 {(- 8)}^{2} d^{6}}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $- 8$ to the power of $2$ .

$\frac{c}{5 \cdot 64 d^{6}}$

Step 2.2

Multiply $5$ by $64$ .

$\frac{c}{320 d^{6}}$