SOLUTION: proof this equation 8^x/5^x =1.6^x

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Question 425939: proof this equation 8^x/5^x =1.6^x
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
8%5Ex%2F5%5Ex+=1.6%5Ex
One of the properties of exponents is:
%28a%2Fb%29%5En+=+a%5En%2Fb%5En
Most of the time we use this to rewrite an expression like the left side and rewrite in the form of the right sides. But, as with most properties in Math, this works in both directions. We can use it to rewrite an expression in the form of the right side and rewrite it in the form of the left side.

The expression on the left side of your equation matches the form of the right side of the property. So we can rewrite it in the form of the left side of the property:
%288%2F5%29%5Ex+=1.6%5Ex
Ans since 8/5 in decimal form is 1.6:
1.6%5Ex+=+1.6%5Ex