Calculate (3/4)²: Finding the Square of a Fraction

Because $(\frac{3}{4})^2$ means $\frac{3}{4} \times \frac{3}{4}$. When you multiply fractions, you multiply numerator × numerator and denominator × denominator, giving you $\frac{3 \times 3}{4 \times 4} = \frac{9}{16}$.

No! $\frac{6}{8} = \frac{3}{4}$ when simplified, but $\frac{9}{16}$ cannot be simplified further. These are different values: 0.75 vs 0.5625.

The same rule applies! For $(\frac{3}{4})^3$, you get $\frac{3^3}{4^3} = \frac{27}{64}$. Always raise both numerator and denominator to the given power.

You could, but it's not recommended! $0.75^2 = 0.5625$, but working with decimals can introduce rounding errors. Keep fractions as fractions for exact answers.

Think of it as "exponent distributes to both parts". Just like $(xy)^2 = x^2y^2$, we have $(\frac{x}{y})^2 = \frac{x^2}{y^2}$. The exponent applies to everything inside the parentheses!