(1/2)^2 X 1/2 X (1/2)^3

less than a minute read Jun 16, 2024
(1/2)^2 X 1/2 X (1/2)^3

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.