Algebra Examples

{(3 m)}^{- 2}

${(3 m)}^{- 2}$

Step 1

Rewrite the expression using the negative exponent rule

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

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

\frac{1}{{(3 m)}^{2}}

$\frac{1}{{(3 m)}^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to

3 m

$3 m$ .

\frac{1}{3^{2} m^{2}}

$\frac{1}{3^{2} m^{2}}$

Step 2.2

Raise

3

$3$ to the power of

2

$2$ .

\frac{1}{9 m^{2}}

$\frac{1}{9 m^{2}}$

\frac{1}{9 m^{2}}

$\frac{1}{9 m^{2}}$

{(3 m)}^{- 2}

${(3 m)}^{- 2}$

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