Basic Math Examples

${(- q^{- 1})}^{4}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

${(- \frac{1}{q})}^{4}$

Step 2

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 2.1

Apply the product rule to $- \frac{1}{q}$ .

${(- 1)}^{4} {(\frac{1}{q})}^{4}$

Step 2.2

Apply the product rule to $\frac{1}{q}$ .

${(- 1)}^{4} \frac{1^{4}}{q^{4}}$

Step 3

Raise $- 1$ to the power of $4$ .

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

Step 4

Multiply $\frac{1^{4}}{q^{4}}$ by $1$ .

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

Step 5

One to any power is one.

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