(3b^3)^2 Without Exponents

Jasonbradley

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Jun 16, 2024

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Simplifying (3b^3)^2 without Exponents

This expression represents the square of the term (3b^3). To simplify it without exponents, we can expand the expression by multiplying it by itself.

Here's how:

1. Rewrite the expression: (3b^3)^2 = (3b^3) * (3b^3)

2. Apply the distributive property: (3b^3) * (3b^3) = (3 * 3) * (b^3 * b^3)

3. Simplify: (3 * 3) * (b^3 * b^3) = 9 * b^6

Therefore, (3b^3)^2 without exponents is equivalent to 9b^6.

Explanation:

• Exponent rule: When multiplying terms with exponents, we add the exponents.
  • In this case, b^3 * b^3 = b^(3+3) = b^6
• Distributive property: It allows us to distribute the multiplication over the terms within the parentheses.

Key takeaway:

Understanding the rules of exponents and distributive property allows us to simplify expressions even when dealing with squares and cubes.