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(2b^2)^3 Without Exponents

less than a minute read Jun 16, 2024
(2b^2)^3 Without Exponents

Simplifying (2b^2)^3 without Exponents

This problem involves simplifying an expression with exponents. Let's break down how to do it without using exponents.

Understanding the problem

The expression (2b^2)^3 means we are multiplying (2b^2) by itself three times.

Expanding the expression

  1. First multiplication: (2b^2) * (2b^2) = 4b^4

    • We multiply the coefficients: 2 * 2 = 4
    • We multiply the variables: b^2 * b^2 = b^4 (Remember, when multiplying variables with exponents, we add the exponents)

  2. Second multiplication: (4b^4) * (2b^2) = 8b^6

    • We multiply the coefficients: 4 * 2 = 8
    • We multiply the variables: b^4 * b^2 = b^6

The Final Result

Therefore, (2b^2)^3 expanded without exponents is 8b^6.

Key takeaway

This example demonstrates how exponents represent repeated multiplication. By expanding the expression, we can rewrite it without using exponents.

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