Basic Math Examples

$\frac{5^{2 - 3}}{20 (3) + 2 (3)}$

Step 1

Move $5^{2 - 3}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{(20 (3) + 2 (3)) \cdot 5^{- (2 - 3)}}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $20$ by $3$ .

$\frac{1}{(60 + 2 (3)) \cdot 5^{- (2 - 3)}}$

Step 2.2

Multiply $2$ by $3$ .

$\frac{1}{(60 + 6) \cdot 5^{- (2 - 3)}}$

Step 2.3

Add $60$ and $6$ .

$\frac{1}{66 \cdot 5^{- (2 - 3)}}$

Step 2.4

Subtract $3$ from $2$ .

$\frac{1}{66 \cdot 5^{- - 1}}$

Step 2.5

Multiply $- 1$ by $- 1$ .

$\frac{1}{66 \cdot 5^{1}}$

Step 2.6

Evaluate the exponent.

$\frac{1}{66 \cdot 5}$

Step 3

Multiply $66$ by $5$ .

$\frac{1}{330}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{330}$

Decimal Form:

$0.0\overline{03}$