SOLUTION: Still trying to help my son get through this. x^-3/4=8^-1 I know you have to make like bases but how do I do that with an 8 and x? also.. 7^(a-sqrt b) * 7^(a+sqrt b)= 2a

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Still trying to help my son get through this. x^-3/4=8^-1 I know you have to make like bases but how do I do that with an 8 and x? also.. 7^(a-sqrt b) * 7^(a+sqrt b)= 2a       Log On


   



Question 603210: Still trying to help my son get through this.
x^-3/4=8^-1
I know you have to make like bases but how do I do that with an 8 and x?
also..
7^(a-sqrt b) * 7^(a+sqrt b)= 2a is what he has for an answer, why do the 7s cancel out in this chapter? He is sure they do, I thought the answer would be 49^2a
Thank you!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^-3/4=8^-1
I know you have to make like bases but how do I do that with an 8 and x?
also..
----
x^(-3/4) = 8^(-1)
------
x^(-3/4) = 2^(-3)
----
[x^(-3/4)]^(-4/3) = [2^(-3)]^(-4/3)
-----
x = 2^4
x = 16
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Cheers,
Stan H.
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7^(a-sqrt b) * 7^(a+sqrt b)= 2a is what he has for an answer, why do the 7s cancel out in this chapter? He is sure they do, I thought the answer would be 49^2a