Basic Math Examples

$y = 15 \cdot 3^{- 3}$

Step 1

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

$y = 15 \cdot \frac{1}{3^{3}}$

Step 2

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

$y = 15 \cdot \frac{1}{27}$

Step 3

Cancel the common factor of $3$ .

Tap for more steps...

Step 3.1

Factor $3$ out of $15$ .

$y = 3 (5) \cdot \frac{1}{27}$

Step 3.2

Factor $3$ out of $27$ .

$y = 3 \cdot 5 \cdot \frac{1}{3 \cdot 9}$

Step 3.3

Cancel the common factor.

$y = 3 \cdot 5 \cdot \frac{1}{3 \cdot 9}$

Step 3.4

Rewrite the expression.

$y = 5 \cdot \frac{1}{9}$

Step 4

Combine $5$ and $\frac{1}{9}$ .

$y = \frac{5}{9}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = \frac{5}{9}$

Decimal Form:

$y = 0.\overline{5}$