Algebra Examples

${(\frac{4^{2}}{3^{- 3}})}^{- 1}$

Step 1

Move $3^{- 3}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

${(4^{2} \cdot 3^{3})}^{- 1}$

Step 2

Raise $4$ to the power of $2$ .

${(16 \cdot 3^{3})}^{- 1}$

Step 3

Raise $3$ to the power of $3$ .

${(16 \cdot 27)}^{- 1}$

Step 4

Multiply $16$ by $27$ .

$432^{- 1}$

Step 5

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

$\frac{1}{432}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{432}$

Decimal Form:

$0.0023\overline{148}$