(1/4)4 X (-1/3)2

Jasonbradley

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Jun 16, 2024

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Solving (1/4)⁴ x (-1/3)²

This problem involves the concepts of exponents and multiplication of fractions. Let's break it down step by step:

Understanding Exponents

• (1/4)⁴: This means multiplying (1/4) by itself four times: (1/4) x (1/4) x (1/4) x (1/4)
• (-1/3)²: This means multiplying (-1/3) by itself twice: (-1/3) x (-1/3)

Calculation

1. Calculate (1/4)⁴: (1/4) x (1/4) x (1/4) x (1/4) = 1/256

2. Calculate (-1/3)²: (-1/3) x (-1/3) = 1/9

3. Multiply the results: (1/256) x (1/9) = 1/2304

Therefore, (1/4)⁴ x (-1/3)² equals 1/2304.