SOLUTION: Not sure if this is right place to ask this question: The problem had a step in it: First rewrite the value of f(x) in exponential form, with base 8. f(x)=1/512 = 1/8^3 =

Algebra ->  Exponents -> SOLUTION: Not sure if this is right place to ask this question: The problem had a step in it: First rewrite the value of f(x) in exponential form, with base 8. f(x)=1/512 = 1/8^3 =       Log On


   



Question 623648: Not sure if this is right place to ask this question:
The problem had a step in it:
First rewrite the value of f(x) in exponential form, with base 8.
f(x)=1/512 = 1/8^3 = 8^-3
I understand that 8^3 equals 1/512, just not what steps they took. Is there an easy way to figure out the exponential form of a number? Also, why did the exponent become negative at the end step?
Thank you.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
f%28x%29=1%2F512+=+1%2F8%5E3+=+%288%5E0%29%2F%288%5E3%29+=8%5E%280-3%29+=+++8%5E%28-3+%29
As to 512 being 8^3 ... some just know that...
others arrives at that by experimenting dividing 512 by logical selections.. like an 6 or 8
a%5E0+=+1 ******
%28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29
root%28a%2Cp%29%2Aroot%28a%2Cq%29+=+root%28a%2Cp%2Aq%29
x%5Em%2Fx%5En=x%5E%28m-n%29********
%28+x%5Em+%29%28+x%5En+%29+=+x%5E%28+m+%2B+n+%29