Algebra Examples

$\frac{{(3 \sqrt{16})}^{- 1}}{2}$

Step 1

Simplify the expression.

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Step 1.1

Move ${(3 \sqrt{16})}^{- 1}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{2 (3 \sqrt{16})}$

Step 1.2

Multiply $3$ by $2$ .

$\frac{1}{6 \sqrt{16}}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $16$ as $4^{2}$ .

$\frac{1}{6 \sqrt{4^{2}}}$

Step 2.2

Pull terms out from under the radical, assuming positive real numbers.

$\frac{1}{6 \cdot 4}$

Step 3

Multiply $6$ by $4$ .

$\frac{1}{24}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{24}$

Decimal Form:

$0.041\overline{6}$