Finite Math Examples

$1 - {(\frac{1}{8})}^{8}$

Step 1

Simplify each term.

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Step 1.1

Apply the product rule to $\frac{1}{8}$ .

$1 - \frac{1^{8}}{8^{8}}$

Step 1.2

One to any power is one.

$1 - \frac{1}{8^{8}}$

Step 1.3

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

$1 - \frac{1}{16777216}$

Step 2

Simplify the expression.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$\frac{16777216}{16777216} - \frac{1}{16777216}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{16777216 - 1}{16777216}$

Step 2.3

Subtract $1$ from $16777216$ .

$\frac{16777215}{16777216}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{16777215}{16777216}$

Decimal Form:

$0.99999994 \dots$