Evaluate. Write your answer as a whole number or as a simplified fraction.

Question

3^2/4^3=

Answer 1

To evaluate \( \frac{3^2}{4^3} \), we first calculate the values of \( 3^2 \) and \( 4^3 \).

1. Calculate \( 3^2 \): \[ 3^2 = 3 \times 3 = 9 \]

2. Calculate \( 4^3 \): \[ 4^3 = 4 \times 4 \times 4 = 16 \times 4 = 64 \]

Now we can substitute these results back into the fraction: \[ \frac{3^2}{4^3} = \frac{9}{64} \]

Since \( 9 \) and \( 64 \) have no common factors, \( \frac{9}{64} \) is already in its simplest form.

Thus, the final answer is: \[ \boxed{\frac{9}{64}} \]