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(2xy^5)^3/2x^3y^8

less than a minute read Jun 16, 2024
(2xy^5)^3/2x^3y^8

Simplifying the Expression (2xy^5)^3 / (2x^3y^8)

This expression involves exponents and fractions. To simplify it, we will use the following rules of exponents:

  • (a^m)^n = a^(m*n)
  • a^m / a^n = a^(m-n)

Let's break down the simplification step-by-step:

  1. Simplify the numerator: (2xy^5)^3 = 2^3 * x^3 * (y^5)^3 = 8x^3y^15

  2. Rewrite the entire expression: (8x^3y^15) / (2x^3y^8)

  3. Apply the division rule for exponents: 8/2 * x^(3-3) * y^(15-8) = 4x^0y^7

  4. Simplify x^0: x^0 = 1

  5. Final simplified expression: 4y^7

Therefore, the simplified form of (2xy^5)^3 / (2x^3y^8) is 4y^7.

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