Algebra Examples

${(3 {(6 x)}^{2})}^{- 1}$

Step 1

Apply the product rule to $6 x$ .

${(3 (6^{2} x^{2}))}^{- 1}$

Step 2

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

${(3 (36 x^{2}))}^{- 1}$

Step 3

Multiply $36$ by $3$ .

${(108 x^{2})}^{- 1}$

Step 4

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

$\frac{1}{108 x^{2}}$