Precalculus Examples

$\frac{{(\frac{32}{3})}^{n - 1}}{{(\frac{32}{3})}^{n}}$

Step 1

Cancel the common factor of ${(\frac{32}{3})}^{n - 1}$ and ${(\frac{32}{3})}^{n}$ .

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Step 1.1

Factor ${(\frac{32}{3})}^{n}$ out of ${(\frac{32}{3})}^{n - 1}$ .

$\frac{{(\frac{32}{3})}^{n} {(\frac{32}{3})}^{- 1}}{{(\frac{32}{3})}^{n}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Multiply by $1$ .

$\frac{{(\frac{32}{3})}^{n} {(\frac{32}{3})}^{- 1}}{{(\frac{32}{3})}^{n} \cdot 1}$

Step 1.2.2

Cancel the common factor.

$\frac{{(\frac{32}{3})}^{n} {(\frac{32}{3})}^{- 1}}{{(\frac{32}{3})}^{n} \cdot 1}$

Step 1.2.3

Rewrite the expression.

$\frac{{(\frac{32}{3})}^{- 1}}{1}$

Step 1.2.4

Divide ${(\frac{32}{3})}^{- 1}$ by $1$ .

${(\frac{32}{3})}^{- 1}$

Step 2

Change the sign of the exponent by rewriting the base as its reciprocal.

$\frac{3}{32}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{32}$

Decimal Form:

$0.09375$