Algebra Examples

$5^{0} \cdot 2^{- 3}$

Step 1

Anything raised to $0$ is $1$ .

$1 \cdot 2^{- 3}$

Step 2

Multiply $2^{- 3}$ by $1$ .

$2^{- 3}$

Step 3

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

$\frac{1}{2^{3}}$

Step 4

Raise $2$ to the power of $3$ .

$\frac{1}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{8}$

Decimal Form:

$0.125$