Basic Math Examples

$10 - {(3 + 2)}^{0} + 2^{- 1}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Add $3$ and $2$ .

$10 - 5^{0} + 2^{- 1}$

Step 1.2

Anything raised to $0$ is $1$ .

$10 - 1 \cdot 1 + 2^{- 1}$

Step 1.3

Multiply $- 1$ by $1$ .

$10 - 1 + 2^{- 1}$

Step 1.4

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

$10 - 1 + \frac{1}{2}$

Step 2

Find the common denominator.

Tap for more steps...

Step 2.1

Write $10$ as a fraction with denominator $1$ .

$\frac{10}{1} - 1 + \frac{1}{2}$

Step 2.2

Multiply $\frac{10}{1}$ by $\frac{2}{2}$ .

$\frac{10}{1} \cdot \frac{2}{2} - 1 + \frac{1}{2}$

Step 2.3

Multiply $\frac{10}{1}$ by $\frac{2}{2}$ .

$\frac{10 \cdot 2}{2} - 1 + \frac{1}{2}$

Step 2.4

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

$\frac{10 \cdot 2}{2} + \frac{- 1}{1} + \frac{1}{2}$

Step 2.5

Multiply $\frac{- 1}{1}$ by $\frac{2}{2}$ .

$\frac{10 \cdot 2}{2} + \frac{- 1}{1} \cdot \frac{2}{2} + \frac{1}{2}$

Step 2.6

Multiply $\frac{- 1}{1}$ by $\frac{2}{2}$ .

$\frac{10 \cdot 2}{2} + \frac{- 1 \cdot 2}{2} + \frac{1}{2}$

Step 3

Combine the numerators over the common denominator.

$\frac{10 \cdot 2 - 1 \cdot 2 + 1}{2}$

Step 4

Simplify each term.

Tap for more steps...

Step 4.1

Multiply $10$ by $2$ .

$\frac{20 - 1 \cdot 2 + 1}{2}$

Step 4.2

Multiply $- 1$ by $2$ .

$\frac{20 - 2 + 1}{2}$

Step 5

Simplify by adding and subtracting.

Tap for more steps...

Step 5.1

Subtract $2$ from $20$ .

$\frac{18 + 1}{2}$

Step 5.2

Add $18$ and $1$ .

$\frac{19}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{2}$

Decimal Form:

$9.5$

Mixed Number Form:

$9 \frac{1}{2}$