Basic Math Examples

$12^{- 4} \cdot 12^{- 7}$

Step 1

Multiply $12^{- 4}$ by $12^{- 7}$ 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.

$12^{- 4 - 7}$

Step 1.2

Subtract $7$ from $- 4$ .

$12^{- 11}$

Step 2

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

$\frac{1}{12^{11}}$

Step 3

Raise $12$ to the power of $11$ .

$\frac{1}{743008370688}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{743008370688}$

Decimal Form:

$1.34587985 \cdot 10^{- 12}$