Basic Math Examples

${({(- 9)}^{3})}^{4} \cdot {(- 9)}^{6}$

Step 1

Multiply the exponents in ${({(- 9)}^{3})}^{4}$ .

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Step 1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

${(- 9)}^{3 \cdot 4} \cdot {(- 9)}^{6}$

Step 1.2

Multiply $3$ by $4$ .

${(- 9)}^{12} \cdot {(- 9)}^{6}$

Step 2

Multiply ${(- 9)}^{12}$ by ${(- 9)}^{6}$ by adding the exponents.

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Step 2.1

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

${(- 9)}^{12 + 6}$

Step 2.2

Add $12$ and $6$ .

${(- 9)}^{18}$

Step 3

Raise $- 9$ to the power of $18$ .

$150094635296999000$

Step 4

The result can be shown in multiple forms.

Exact Form:

$150094635296999000$

Decimal Form:

$1.50094635 \cdot 10^{17}$