Mathematics ACT Aspire Test 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 400

Simplify the expression (2x^2y)(3xy^2).

6x^2y^3

6x^3y^2

6x^3y^3

To simplify the expression (2x²y)(3xy²), we start by multiplying the coefficients and the variables separately.

First, multiply the coefficients:

The coefficients are 2 and 3. So, 2 * 3 = 6.

Next, consider the variables x and y:

For the x terms: x² from the first term and x from the second term. When multiplying variables with the same base, we add the exponents. Thus, x² * x = x^(2+1) = x³.

For the y terms: y from the first term and y² from the second term. Again, we add the exponents: y * y² = y^(1+2) = y³.

Putting this all together, we have:

6 * x³ * y³, which simplifies to 6x³y³.

Therefore, the simplified expression is 6x³y³.

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5x^2y^2

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