Basic Math Examples

${(\frac{5}{3})}^{0} {(2)}^{- 1}$

Step 1

Simplify the expression.

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Step 1.1

Apply the product rule to $\frac{5}{3}$ .

$\frac{5^{0}}{3^{0}} {(2)}^{- 1}$

Step 1.2

Anything raised to $0$ is $1$ .

$\frac{1}{3^{0}} {(2)}^{- 1}$

Step 1.3

Anything raised to $0$ is $1$ .

$\frac{1}{1} {(2)}^{- 1}$

Step 2

Cancel the common factor of $1$ .

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Step 2.1

Cancel the common factor.

$\frac{1}{1} {(2)}^{- 1}$

Step 2.2

Rewrite the expression.

$1 {(2)}^{- 1}$

Step 3

Multiply ${(2)}^{- 1}$ by $1$ .

${(2)}^{- 1}$

Step 4

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

$\frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$