Question

Which expression is equivalent to (3m)(4m)2?

1) (12m³)
2) (24m³)
3) (48m³)
4) (144m³)

Answer 1

The expression equivalent to (3m)(4m)^2 is (12m^3), so the correct answer is option 1). This is calculated by applying the rules of exponents and multiplication to combine the terms.

Step-by-step explanation:

To find which expression is equivalent to (3m)(4m)^2, we need to apply the rules of exponents. Let's break it down step by step:

1. Multiply 3m by itself, which gives us 3m × 3m = 9m^2.
2. Then, take the result (9m^2) and multiply it by 4m, which becomes 9m^2 × 4m.
3. Now, multiply the coefficients (9 × 4) and add the exponents of m (2 + 1) to get 36m^3.

So the expression equivalent to (3m)(4m)^2 is (12m^3), which means the correct answer is option 1).