Algebra Examples

${(- 6)}^{- 21} {(- 6)}^{18}$

Step 1

Multiply ${(- 6)}^{- 21}$ by ${(- 6)}^{18}$ by adding the exponents.

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Step 1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${(- 6)}^{- 21 + 18}$

Step 1.2

Add $- 21$ and $18$ .

${(- 6)}^{- 3}$

Step 2

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

$\frac{1}{{(- 6)}^{3}}$

Step 3

Raise $- 6$ to the power of $3$ .

$\frac{1}{- 216}$

Step 4

Move the negative in front of the fraction.

$- \frac{1}{216}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{216}$

Decimal Form:

$- 0.004\overline{629}$