SOLUTION: Write (81^(x+1)(1/9^(4-x) / 27(243^(x-2) as a single power.

Algebra.Com
Question 128432: Write (81^(x+1)(1/9^(4-x) / 27(243^(x-2) as a single power.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Write (81^(x+1)((1/9)^(4-x) / 27(243^(x-2) as a single power.
-------------------------------
(3^4(x+1)) * (3^-2(4-x)) / (3^3*(3^5(x-2)
---------------------------------
[3^(4x+4)][3^(-8+2x)]/[3^3(3^(5x-10)]
-------------------------------
= 3^(6x-4)/[3^(5x-7)]
= 3^(x+3)
=============
Cheers,
Stan H.

RELATED QUESTIONS

Write as a single power: [27^(-x+2)*(1/9)^2x]/3(81)^(x-4) My answer is 3^(-11x+22). Can (answered by stanbon)
Solve 3^x-1=7 Write 6log4x+log4y as a single logarithm Solve. 3^2x-1 x (answered by stanbon)
27^(x^2+1) =... (answered by stanbon)
27^x-1 =... (answered by Awesom3guy)
27^x-1=... (answered by Alan3354)
solve... (answered by lwsshak3)
Solve the following exponential equations: a) 7^x=49 b) 243 = 9^2x+1 c) 2^2x * 4^4x +8 (answered by ewatrrr,lwsshak3)
9^X =... (answered by nerdybill)
81^(X-2)(1/27^(-X-1))=9^(2X-3) (answered by Tatiana_Stebko)