Precalculus Examples

$243 {(- 3)}^{- 5}$

Step 1

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

$243 \frac{1}{{(- 3)}^{5}}$

Step 2

Raise $- 3$ to the power of $5$ .

$243 (\frac{1}{- 243})$

Step 3

Cancel the common factor of $243$ .

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Step 3.1

Factor $243$ out of $- 243$ .

$243 \frac{1}{243 (- 1)}$

Step 3.2

Cancel the common factor.

$243 \frac{1}{243 \cdot - 1}$

Step 3.3

Rewrite the expression.

$\frac{1}{- 1}$

Step 4

Divide $1$ by $- 1$ .

$- 1$