(2b)^3/6b^5

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (2b)^3 / 6b^5

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

Understanding the Problem

We need to simplify the given expression by performing the necessary mathematical operations. The expression involves exponents, parentheses, and division.

Step-by-Step Solution

1. Simplify the numerator:

   • (2b)^3 = 2^3 * b^3 = 8b^3

2. Rewrite the expression:

   • (2b)^3 / 6b^5 = 8b^3 / 6b^5

3. Simplify by dividing the coefficients:

   • 8/6 = 4/3

4. Simplify by dividing the variables:

   • b^3 / b^5 = b^(3-5) = b^(-2)

5. Combine the simplified terms:

   • 4/3 * b^(-2) = 4b^(-2) / 3

Final Result

Therefore, the simplified form of the expression (2b)^3 / 6b^5 is 4b^(-2) / 3.

Note: The result can also be expressed as 4 / (3b^2).