Finite Math Examples

$6^{- 8}$

Step 1

The complement of $6^{- 8}$ is the angle that when added to $6^{- 8}$ forms a right angle ( $90 °$ ).

$90 ° - 6^{- 8}$

Step 2

Simplify each term.

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Step 2.1

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

Step 2.2

Raise $6$ to the power of $8$ .

$90 - \frac{1}{1679616 °}$

Step 3

To write $90$ as a fraction with a common denominator, multiply by $\frac{1679616}{1679616}$ .

$90 \cdot \frac{1679616}{1679616} - \frac{1}{1679616 °}$

Step 4

Combine $90$ and $\frac{1679616}{1679616}$ .

$\frac{90 \cdot 1679616}{1679616} - \frac{1}{1679616 °}$

Step 5

Combine the numerators over the common denominator.

$\frac{90 \cdot 1679616 - 1}{1679616 °}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $90$ by $1679616$ .

$\frac{151165440 - 1}{1679616 °}$

Step 6.2

Subtract $1$ from $151165440$ .

$\frac{151165439}{1679616 °}$