SOLUTION: Solve: {{{r/6^-2=6^3/6^-1}}}

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Solve: {{{r/6^-2=6^3/6^-1}}}      Log On


   

Question 766522: Solve: r%2F6%5E-2=6%5E3%2F6%5E-1
Found 2 solutions by ramkikk66, MathTherapy:
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!

r%2F6%5E-2=6%5E3%2F6%5E-1

6^-2 = 1/6^2 = 1/36
6^-1 = 1/6^1 = 1/6

Substituting in the given equation:

r+%2F+%281%2F36%29+=+6%5E3%2F%281%2F6%29

36+%2A+r+=+216%2A6+=+1296

r+=+1296%2F36+=+36

Hope you got it :)

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Solve: r%2F6%5E-2=6%5E3%2F6%5E-1

r%2F6%5E-+2+=+6%5E%283+-+-1%29

r%2F6%5E-2+=+6%5E4

r+=+6%5E-2+%2A+6%5E4 ------- Cross-multiplying

r+=+6%5E%28-+2+%2B+4%29 ------- r+=+6%5E2 ------- highlight_green%28r+=+36%29