Question

find the value of "n"
3^6 x 3^n divided by 3^4=3^5

Answer 1

i know the answer is 3 but i need to know how to work it out as we aren't allowed calculators

Answer 2

do you know the rules of exponents?

Answer 3

yes i do @jim_thompson5910

Answer 4

so what are some of the rules you know

Answer 5

i know all the rules, in working it out i got up to, 3^6n-4= 3^5 @jim_thompson5910

Answer 6

3^6 x 3^n wouldn't give you 3^(6n)

Answer 7

it gives you

3^6 x 3^n = 3^(6+n)

Answer 8

do you know how to work it out? @jim_thompson5910

Answer 9

3^6 x 3^n divided by 3^4=3^5

would turn into

3^(6+n) divided by 3^4=3^5

and then that becomes

3^(6+n-4) = 3^5

Answer 10

see how I'm getting all that?

Answer 11

yes, that is what i got up to, but om stuck now:/ @jim_thompson5910

Answer 12

well the bases are equal to 3, so the exponents must be equal, therefore,

3^(6+n-4) = 3^5

leads to

6+n-4 = 5

Answer 13

now solve for n

Answer 14

i don't know how to solve for n @jim_thompson5910

Answer 15

are you able to combine like terms in 6+n-4 = 5

Answer 16

no

Answer 17

do you see the like terms on the left side?

Answer 18

noo..:/

Answer 19

6 and -4 are the like terms because they don't have a variable on them

so 6-4 = 2

Answer 20

6+n-4 = 5

becomes

n+2 = 5

Answer 21

thats what i did but it says the answer is 3

Answer 22

now move over that +2

Answer 23

move it where