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(1/3)^8=(-1/3)^n-1

 Jun 1, 2014

Best Answer 

 #1
avatar+118723 
+5

Let me think about this.

Firstly is this what you mean, or is the -1 tacked onto the end?

$$\left(\frac{1}{3}\right)^8=\left(\frac{-1}{3}\right)^{n-1}$$

if (n-1) is even then 

$$\left(\frac{1}{3}\right)^8=\left(\frac{1}{3}\right)^{n-1}$$

n-1=8

n=9

If n-1 is odd it can't work.

okay so n=9 is the only answer in the Real number system.

 Jun 1, 2014
 #1
avatar+118723 
+5
Best Answer

Let me think about this.

Firstly is this what you mean, or is the -1 tacked onto the end?

$$\left(\frac{1}{3}\right)^8=\left(\frac{-1}{3}\right)^{n-1}$$

if (n-1) is even then 

$$\left(\frac{1}{3}\right)^8=\left(\frac{1}{3}\right)^{n-1}$$

n-1=8

n=9

If n-1 is odd it can't work.

okay so n=9 is the only answer in the Real number system.

Melody Jun 1, 2014

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