Simplifying (1/2)^2 x 1/2 x (1/2)^3
This expression involves exponents and multiplication. Let's break it down step-by-step:
Understanding the Exponents
- (1/2)^2: This means (1/2) multiplied by itself twice: (1/2) * (1/2) = 1/4.
- (1/2)^3: This means (1/2) multiplied by itself three times: (1/2) * (1/2) * (1/2) = 1/8.
Combining the Terms
Now we have: 1/4 * 1/2 * 1/8
Multiplication
To multiply fractions, we multiply the numerators (top numbers) and the denominators (bottom numbers):
(1 * 1 * 1) / (4 * 2 * 8) = 1/64
Therefore, (1/2)^2 x 1/2 x (1/2)^3 simplifies to 1/64.