Pre-Algebra Examples

$- 4^{- 3} + 2^{0}$

Step 1

Simplify each term.

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Step 1.1

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

$- \frac{1}{4^{3}} + 2^{0}$

Step 1.2

Raise $4$ to the power of $3$ .

$- \frac{1}{64} + 2^{0}$

Step 1.3

Anything raised to $0$ is $1$ .

$- \frac{1}{64} + 1$

Step 2

Simplify the expression.

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Step 2.1

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

$- \frac{1}{64} + \frac{64}{64}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{- 1 + 64}{64}$

Step 2.3

Add $- 1$ and $64$ .

$\frac{63}{64}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{63}{64}$

Decimal Form:

$0.984375$