Calculate (2/6)³: Cube of a Simple Fraction

Always simplify first! It's much easier to calculate $(\frac{1}{3})^3$ than $(\frac{2}{6})^3$. You'll get the same answer but with simpler numbers.

Use the rule: $(\frac{a}{b})^n = \frac{a^n}{b^n}$. This means you cube both the top and bottom separately. So $(\frac{1}{3})^3 = \frac{1^3}{3^3}$.

Any number raised to any power, when that number is 1, always equals 1. So $1^3 = 1 \times 1 \times 1 = 1$. This makes calculations with 1 in the numerator very simple!

$3^3$ means 3 × 3 × 3. First: 3 × 3 = 9. Then: 9 × 3 = 27. So $3^3 = 27$.

No problem! You can still get the right answer by simplifying $\frac{8}{216}$. Divide both by 8: $\frac{8÷8}{216÷8} = \frac{1}{27}$. But it's easier to simplify first!