Question

simplify (3^6)^18

Answer 1

when doing an exponent to and exponent, the exponents multiply

like (2^3)^4 = 2^(3*4) = 2^12

Answer 2

@jigglypuff314 it's still confusing

Answer 3

mmm
it works like
for example if given (x^3)^2
-> (x^3)(x^3) = (x*x*x)(x*x*x) = x*x*x*x*x*x = x^6
or -> (x^3)^2 = x^(3*2) = x^6
just works like that


so for (3^6)^18 = 3^(6*18) =

well, what's 6 times 18 = ?

Answer 4

@jigglypuff314 108
oh ok i understand, so basically you multiply the exponents with the remaining number multiplied to the sum?

Answer 5

mmm I don't quite get what you mean?
(3^6)^18 = 3^108

Answer 6

@jigglypuff314 yes that's what i mean, you multiple the exponents which in this case are 6 and 18, then you would multiple that with 3

Answer 7

not necessarily the last part...
3^108 = http://www.wolframalpha.com/input/?i=3%5E108