(4/3ab^3)(6/2a^4)/a^5

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (4/3ab^3)(6/2a^4)/a^5

This article will guide you through simplifying the expression (4/3ab^3)(6/2a^4)/a^5.

Understanding the Expression

The expression involves multiplication and division of terms with variables and exponents. Here's a breakdown:

• (4/3ab^3): This is a fraction with the numerator 4 and the denominator 3ab^3.
• (6/2a^4): This is another fraction with the numerator 6 and the denominator 2a^4.
• a^5: This is a single term with the variable 'a' raised to the power of 5.

Simplifying the Expression

1. Simplify the fractions:

   • (4/3ab^3) can be simplified as (4/3) * (1/ab^3)
   • (6/2a^4) can be simplified as (6/2) * (1/a^4) = 3 * (1/a^4)

2. Multiply the fractions:

   • (4/3) * (1/ab^3) * 3 * (1/a^4) = (4 * 3 * 1 * 1)/(3 * 1 * ab^3 * a^4)

3. Combine like terms:

   • (12)/(3a^7b^3)

4. Simplify the fraction:

   • (12/3) * (1/(a^7b^3)) = 4 * (1/(a^7b^3))

5. Divide by a^5:

   • 4 * (1/(a^7b^3)) / a^5 = (4/ (a^7b^3 * a^5))

6. Simplify exponents:

   • (4/ (a^12b^3))

Final Simplified Expression

The simplified expression for (4/3ab^3)(6/2a^4)/a^5 is 4/(a^12b^3).