Question

If x > 0, then (4^x)(8^x) = ?

Answer 1

If x > 0 then, \[(4^{x}) (8^{x})\] =

Answer 2

\[4=2^2\]
\[8=2^3\]
\[(2^2)^x*(2^3)^x\]

Answer 3

(2^2x)*(2^3x)=2^(2x+3x)=2^(5x)

Answer 4

@SlightlyConfused

Answer 5

thanks! still a bit confused though but thanks

Answer 6

tell me buddy
@SlightlyConfused

Answer 7

I'm confused on this part; (2^2x)*(2^3x)=2^(2x+3x)=2^(5x)

Answer 8

I got the first part, but how did you go from there to that long equation?

Answer 9

never mind i got it! you multiplied the 2 and the x!!!!!!!!!!!

Answer 10

if (2^a)^b then powers will be multiplied
(2^a)^b=2^(a*b)

Answer 11

now if base is same then power will be added
we converted it to a common base 2 so thsat we can add up the powers

Answer 12

@SlightlyConfused
?????

Answer 13

okay i got it! thanks so much!!!!!!!!!!

Answer 14

alwys welcome :)