(3x^3)^2 Without Exponents

Jasonbradley

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Jun 16, 2024

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Expanding (3x^3)^2 without Exponents

The expression (3x^3)^2 represents the square of the entire term (3x^3). To expand this without exponents, we'll use the properties of exponents and multiplication:

Understanding the Exponent

The exponent "2" signifies that we are multiplying the base (3x^3) by itself twice:

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

Expanding the Multiplication

Now we need to multiply each part of the first term with each part of the second term:

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

Applying Exponent Rules

When multiplying terms with the same base, we add the exponents:

(3 * 3) * (x^3 * x^3) = 9 * x^(3+3)

Final Result

This simplifies to:

9 * x^(3+3) = 9x^6

Therefore, (3x^3)^2 expanded without exponents is 9x^6.