The problem asks us to evaluate the expression $0.5^3$.

ArithmeticExponentsDecimal ArithmeticFraction Arithmetic
2025/3/31

1. Problem Description

The problem asks us to evaluate the expression 0.530.5^3.

2. Solution Steps

We need to calculate 0.530.5^3. This means 0.5×0.5×0.50.5 \times 0.5 \times 0.5.
First, calculate 0.5×0.5=0.250.5 \times 0.5 = 0.25.
Then, calculate 0.25×0.5=0.1250.25 \times 0.5 = 0.125.
Alternatively, we can write 0.50.5 as 12\frac{1}{2}.
Then, 0.53=(12)3=1323=180.5^3 = (\frac{1}{2})^3 = \frac{1^3}{2^3} = \frac{1}{8}.
Converting 18\frac{1}{8} to decimal form, we get 0.1250.125.

3. Final Answer

0. 125

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