Question

Evaluate (3m)^2 * 3m^(-2) when m = 1.
a. 0
b. 3
c. 9
d. 27

Answer 1

We evaluate (3m)^2 * 3m^(-2) by first computing each expression with m set to 1 and then multiplying the results. The calculations give us 9 * 3, which equals 27, thus answer choice d. 27 is the correct one.

Step-by-step explanation:

To evaluate (3m)^2 * 3m^(-2) when m = 1, we need to perform the following steps:

1. Calculate (3m)^2: When m = 1, this becomes (3*1)^2 = 3^2 = 9.
2. Calculate 3m^(-2): Again, with m = 1, this becomes 3*1^(-2), which since any number to the power of -2 is 1 divided by the number squared, equals 3/(1^2) = 3/1 = 3.
3. Multiply the results: Now we multiply 9 from step 1 by 3 from step 2, which equals 27.

Therefore, by evaluating the expression, we find that the correct answer is d. 27.We evaluate (3m)^2 * 3m^(-2) by first computing each expression with m set to 1 and then multiplying the results