Question

Simplify:



–2m3 • (3m)2




A.


–6m2


B.


–6m3


C.


–18m2


D.


–18m5

Answer 1

Why did you close the previous post where you asked this question where I started helping you? Are you interested in learning this or do you just want answers?

Answer 2

@mathstudent55 Calm down.

Answer 3

i am intrested in learning i closed it by a accident sorry :(

Answer 4

Ok, no problem. If you want we can continue here, or if you prefer, we can go back to the closed one and continue there.

Answer 5

we can continue here.... i guess

Answer 6

As long as we're here, let's just continue here.
Look at the second part of the expression:

\( (3m)^2 \)

When you have a product raised to a power, raise every factor to the power.

The rule is \( (ab)^m = a^mb^m \)

For example,

\( (4a)^3 = 4^3 a^3 \)

Can you do that to the the part \( (3m)^2 \)?

Answer 7

no

Answer 8

Each factor inside the parentheses has to be raised to the power, so

\( (3m)^2 = 3^2m^2\)

Ok?

Answer 9

ok

Answer 10

Now let's look at the entire question:

\(-2m^3 \cdot (3m)^2 \)

We already know what happens to the (3m)^2 part:

\(=-2m^3 \cdot 3^2m^2 \)

3^2 is simply 9:

\(= -2m^3 \cdot 9m^2\)

Now we multiply the numbers together.

-2 * 9 = -18

When you multiply the same variable raised to two powers, you write the variable and add the powers.

\(m^3 \cdot m^2 = m^{3 + 2} = m^5 \)

\(= -18 m^5\)

That's the final answer.

Answer 11

i get it now

Answer 12

Great.