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(5a^2/3)(4a^3/2)

2 min read Jun 16, 2024
(5a^2/3)(4a^3/2)

Simplifying the Expression (5a^2/3)(4a^3/2)

This article will guide you through the process of simplifying the expression (5a^2/3)(4a^3/2).

Understanding the Expression

The expression involves:

  • Multiplication of two fractions: We need to multiply the numerators and the denominators.
  • Variables with exponents: We need to apply the rules of exponents during multiplication.

Step-by-Step Simplification

  1. Multiply the numerators: (5a^2)(4a^3) = 20a^5

  2. Multiply the denominators: (3)(2) = 6

  3. Combine the results: (20a^5)/6

  4. Simplify by dividing the numerator and denominator by their greatest common factor (2): (10a^5)/3

Final Result

Therefore, the simplified form of the expression (5a^2/3)(4a^3/2) is (10a^5)/3.

Key Points

  • Remember the rules of exponents: when multiplying exponents with the same base, you add the powers.
  • Simplify the expression as much as possible by finding the greatest common factor of the numerator and denominator.

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