(2x^2)^3 Without Exponents

Jasonbradley

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Jun 16, 2024

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Expanding (2x^2)^3 without Exponents

The expression (2x^2)^3 represents the product of (2x^2) multiplied by itself three times. Let's break down how to expand this without using exponents.

Understanding the Exponent

The exponent "3" in (2x^2)^3 indicates that we are multiplying the base, (2x^2), by itself three times. This can be written as:

(2x^2)^3 = (2x^2) * (2x^2) * (2x^2)

Expanding the Multiplication

Now, let's multiply each term individually:

1. Multiply the coefficients: 2 * 2 * 2 = 8
2. Multiply the variables: x^2 * x^2 * x^2 = x^(2+2+2) = x^6

Final Result

By combining the results from step 1 and step 2, we get:

(2x^2)^3 = 8x^6

Therefore, the expanded form of (2x^2)^3 without exponents is 8x^6.