Simplify (a/3)²: Squaring a Specific Fraction Expression

When you square a fraction, you're multiplying the entire fraction by itself: $\frac{a}{3} \times \frac{a}{3} = \frac{a \times a}{3 \times 3} = \frac{a^2}{3^2}$. Both parts get multiplied!

Both forms are correct! $\frac{a^2}{3^2}$ shows the process clearly, while $\frac{a^2}{9}$ is the simplified form. Check which form your teacher prefers.

Same rule applies! For $\left(\frac{a}{3}\right)^3$, you get $\frac{a^3}{3^3} = \frac{a^3}{27}$. The exponent goes on both parts of the fraction.

Absolutely! $\left(\frac{2}{5}\right)^2 = \frac{2^2}{5^2} = \frac{4}{25}$. The same rule works whether you have variables or specific numbers.

Big difference! $\frac{a^2}{3^2}$ means both the numerator and denominator are squared. $\frac{a}{3^2}$ only squares the denominator, which is incorrect for this problem.