Understanding the Expression
The expression given is -1/8 raised to the power of 2, multiplied by 256. To solve this, we need to break it down step by step.
Step 1: Calculate -1/8 Squared
- When you square a fraction, you square both the numerator and the denominator.
- Therefore, (-1/8)² = (-1)² / (8)² = 1 / 64.
Step 2: Multiply by 256
- Now, we take the result from Step 1 and multiply it by 256.
- So, we have: (1/64) * 256.
Step 3: Simplify the Multiplication
- To simplify, convert 256 into a fraction: 256 = 256/1.
- Now multiply: (1 * 256) / (64 * 1) = 256 / 64.
Step 4: Perform the Division
- Finally, divide 256 by 64.
- 256 ÷ 64 = 4.
Final Result
- The final result of the expression (-1/8)² * 256 is 4.
Conclusion
- The process involves squaring the fraction, multiplying by 256, and simplifying the resulting fraction.
- The answer is 4, demonstrating how to handle powers and fractions in calculations effectively.