Algebra Practice Test 2026 – Complete Exam Preparation

Question: 1 / 400

What is the simplified expression for 18a^3b^2 / 2ab?

9ab

9a^2b

To simplify the expression \( \frac{18a^3b^2}{2ab} \), we follow these steps.

First, we can divide the coefficients. The coefficient in the numerator is 18 and in the denominator is 2. When we divide, we get:

\[

\frac{18}{2} = 9

\]

Next, we handle the variables. For \( a \), we have \( a^3 \) in the numerator and \( a \) in the denominator. When dividing powers with the same base, we subtract the exponents:

\[

a^{3-1} = a^2

\]

For \( b \), we have \( b^2 \) in the numerator and \( b \) in the denominator. Again, we subtract the exponents:

\[

b^{2-1} = b^1 = b

\]

Now, we can combine these results. Bringing together the coefficient and the simplified variable terms gives us:

\[

9 \cdot a^2 \cdot b = 9a^2b

\]

Thus, the fully simplified expression is \( 9a^2b \). This matches the choice provided, confirming that

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9a^2b^2

a^2b^2

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