Divide 2u^4v^9*12u^4v^9/6u^4*v^4?

Question

Divide.

2u^4v^9*12u^4v^9/6u^4*v^4

I came up with 4u^4V^20.5 but it doesn't seem right or is it?

Could anyone explain how to do it?

Answer 1

2(12)/6 = 24/6 = 4
u^(4+4-4) = u^4
v^(9+9-4) = v^14
Answer: 4u^4v^14

Answer 2

Nope. The correct answer is 4u^4v^14.

Answer 3

2u^4v^9*12u^4v^9/6u^4*v^4 = 4v^5u^4v^9 = 4v^14u^4

Remeber that when you "cancel" exponents you are acutally subtracting them.

Thus v^9 / v^4 = v^(9-4) = v^5 etc....

So dividing exponents means you are subtracting them.
So multiplying exponents means you will add them.

So v^9v^5 = v^(9+5) = v^14

Answer 4

no