SOLUTION: Hello How can I solve this problem. It was given by my teacher so I do not have the answers to it. I'd be grateful if you could provide detailed steps on how to solve it. ([2

Algebra ->  Exponents -> SOLUTION: Hello How can I solve this problem. It was given by my teacher so I do not have the answers to it. I'd be grateful if you could provide detailed steps on how to solve it. ([2      Log On


   

Question 909516: Hello
How can I solve this problem. It was given by my teacher so I do not have the answers to it. I'd be grateful if you could provide detailed steps on how to solve it.
([24^(x-2)]*[36^(1-2x)])/[((18^(3-x))*8]
I've uploaded a picture here for easier understanding:
http://i.imgur.com/D6qsK0w.jpg
Thank you so much
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
+%2824%5E%28x-2%29%2A36%5E%281-2x%29%29%2F%2818%5E%283-x%29%2A8%29+
note: 24%5E%28x-2%29=24%5Ex%2F24%5E2, 36%5E%281-2x%29=+36%2F36%5E%282x%29+, and 18%5E%283-x%29=18%5E3%2F18%5Ex

+%28%2824%5Ex%2F24%5E2%29%2A%2836%2F36%5E%282x%29%29%29%2F%28%2818%5E3%2F18%5Ex%29%2A8%29+

+%28%2824%5Ex%2A36%29%2F%2824%5E2%2A36%5E%282x%29%29%29%2F%28%288%2A18%5E3%29%2F18%5Ex%29+



+%2824%5Ex%2A9%2A18%5Ex%29%2F%2824%5E2%2A36%5E%282x%29%2A2%2A18%5E3%29+

+%2824%5Ex%2A9%2A18%5Ex%29%2F%28576%2A36%5E%282x%29%2A2%2A5832%29+

+%2824%5Ex%2Across%289%29%2A18%5Ex%29%2F%28576%2A36%5E%282x%29%2Across%2811664%291296%29+

+%2824%5Ex%2A18%5Ex%29%2F%28576%2A36%5E%282x%29%2A1296%29+

+432%5Ex%2F%28746496%2A36%5E%282x%29%29+

+%2812%5Ex%2A36%5Ex%29%2F%28746496%2A36%5E%282x%29%29+

+%2812%5Ex%2A36%5E%28x-2x%29%29+%2F746496

+%2812%5Ex%2A36%5E%28-x%29%29+%2F746496

since 12%5Ex=3%5Ex%2A4%5Ex and , we have

+%283%5Ex%2A4%5Ex%2A4%5E%28-x%29%2A3%5E%28-2x%29%29+%2F746496 ...since 4%5Ex%2A4%5E%28-x%29=4%5Ex%2F4%5E%28x%29=1 and 3%5Ex%2A3%5E%28-2x%29=3%5E%28x-2x%29=3%5E%28-x%29, we have

+3%5E%28-x%29+%2F746496+ ....since 746496=3%5E6%2A1024+ we have

+3%5E%28-x%29+%2F%283%5E6%2A1024%29+

+3%5E%28-x-6%29+%2F1024+