To solve \( 1 \times \left(\frac{4}{5}\right)^3 \), let's follow these steps:

### Step 1: Calculate \( \left(\frac{4}{5}\right)^3 \)
\[
\left(\frac{4}{5}\right)^3 = \frac{4^3}{5^3} = \frac{64}{125}
\]

### Step 2: Multiply by 1
Since multiplying by 1 does not change the value:
\[
1 \times \frac{64}{125} = \frac{64}{125}
\]

Thus, the result is:
\[
\frac{64}{125}
\]

Would you like more details on any step or have additional questions?

Here are 5 related questions to deepen your understanding:
1. How do you convert a fraction to a decimal?
2. What happens when you raise a fraction to a negative exponent?
3. How do you simplify expressions involving powers of fractions?
4. Can you express \( \frac{64}{125} \) as a percentage?
5. How do you calculate \( \left(\frac{a}{b}\right)^n \) for any values of \( a \), \( b \), and \( n \)?

**Tip:** Always simplify fractions and perform any power operations before applying other arithmetic operations.

Learn how to solve 1 × (4/5)^3 with a step-by-step solution. This problem covers exponentiation rules for fractions, including simplifying (4/5)^3 and multiplying the result by 1. Suitable for students in Grades 6-8.

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