Question

Simplify 3t^3 * 4t * 2t^4
A) 24t^12
B) 24t^7
C) 24t^8
D) 24t^13
I used * for times :)
please explain to me how to do this also :)

Answer 1

when you multiply variables with exponents you add the exponents together

Answer 2

but only if the variables are the same

Answer 3

So it would be B?

Answer 4

well if you add up all the exponents what do you get?

Answer 5

keep in mind that t is the same thing as t^1

Answer 6

I got 10^4 but I know that wrong :/

Answer 7

now I got 24^7

Answer 8

ok well \[3t ^{3}*4t=12t ^{3+1}=12t ^{4}\]

Answer 9

do you follow so far?

Answer 10

no

Answer 11

ok well 4*3 is just 12 right? then we just add the exponents. t^3+1=t^4

Answer 12

so we get 12t^4

Answer 13

ok I get that part

Answer 14

now I have 24t^8 am I right?

Answer 15

Yes

Answer 16

WooooH!!!! thank you!!!!! :)