Question

*Medal and fan*

Find the GCF of the monomials.

Answer 1

\[a^2b^3, ab^3\]

Answer 2

whats common in both of them

Answer 3

Um, they both have the variable a and b in their terms?

Answer 4

and what's the maximum power of b in both?

Answer 5

3

Answer 6

so our gcf will be ab^3

Answer 7

But how? A only goes to 2 when it comes to powers?

Answer 8

the first one has two a's whereas second one has only one a
SO only one a is common in both of them

Answer 9

If I were to break apart the equation, would I write:

ab*ab*ab?

-or-

a*b*a*b*a*b?

Answer 10

both are correct but just because ab is in reality a*b. If you talk about fulling breaking the equation then the second one is correct

Answer 11

Okay, this is how I find the GCF(?):

\[a^2b^3\]
a*a*b*b*b

\[ab^3\]
ab*ab*ab

Answer 12

Just basically match them up?

Answer 13

Yes

Answer 14

Find the similar terms.

Answer 15

This is where I'm confused.

Answer 16

SO gcf is ab^3