Algebra Examples

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

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

Step 1

Apply the product rule to

6 x

$6 x$ .

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

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

Step 2

Raise

6

$6$ to the power of

2

$2$ .

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

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

Step 3

Multiply

36

$36$ by

3

$3$ .

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

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

Step 4

Rewrite the expression using the negative exponent rule

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

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

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