The problem is to evaluate the expression $(\frac{s}{4})^3$.

AlgebraExponentsAlgebraic ExpressionsSimplification
2025/7/31

1. Problem Description

The problem is to evaluate the expression (s4)3(\frac{s}{4})^3.

2. Solution Steps

We need to raise the fraction s4\frac{s}{4} to the power of

3. This means we raise both the numerator and the denominator to the power of

3. $(\frac{s}{4})^3 = \frac{s^3}{4^3}$

We know that 43=4×4×4=16×4=644^3 = 4 \times 4 \times 4 = 16 \times 4 = 64.
Therefore, (s4)3=s364(\frac{s}{4})^3 = \frac{s^3}{64}.

3. Final Answer

s364\frac{s^3}{64}