Understanding (-1/8)^2
In mathematics, (-1/8)^2 represents squaring the fraction -1/8. This means multiplying the fraction by itself.
Here's how we solve it:
1. Squaring the Fraction:
(-1/8)^2 = (-1/8) * (-1/8)
2. Multiplying Fractions:
To multiply fractions, we multiply the numerators and the denominators:
(-1/8) * (-1/8) = (-1 * -1) / (8 * 8)
3. Simplifying the Result:
(-1 * -1) / (8 * 8) = 1 / 64
Therefore, (-1/8)^2 = 1/64
Key Points:
- Squaring a negative number results in a positive number. This is because multiplying two negative numbers always gives a positive result.
- Squaring a fraction involves multiplying the fraction by itself. This results in a new fraction with the numerator and denominator squared.
Understanding the concept of squaring fractions is essential for various mathematical calculations and problem-solving.