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What is a zero exponent? What does it mean? What are some equivalent expressions of a zero exponent using roots?

 May 1, 2014

Best Answer 

 #1
avatar+118725 
+5

Think about this

$$\mbox{}\\
\frac{8^4}{8^2}=8^{4-2}=8^2\\\\
\frac{8^4}{8^3}=8^{4-3}=8^1\\\\
\frac{8^4}{8^4}=8^{4-4}=8^0\\\\
\mbox{But}\\\\
\frac{8^4}{8^4}=\frac{8*8*8*8}{8*8*8*8}=\frac{1}{1}=1\\\\
\mbox{therefore}\\\\
8^0=1$$

Any number or pronumerals (letter) raised to the power of 0 is 1 EXCEPT  $$0^0$$  is indeterminant

There is no root equivalent.  A power of 0 is not a root.  

 May 1, 2014
 #1
avatar+118725 
+5
Best Answer

Think about this

$$\mbox{}\\
\frac{8^4}{8^2}=8^{4-2}=8^2\\\\
\frac{8^4}{8^3}=8^{4-3}=8^1\\\\
\frac{8^4}{8^4}=8^{4-4}=8^0\\\\
\mbox{But}\\\\
\frac{8^4}{8^4}=\frac{8*8*8*8}{8*8*8*8}=\frac{1}{1}=1\\\\
\mbox{therefore}\\\\
8^0=1$$

Any number or pronumerals (letter) raised to the power of 0 is 1 EXCEPT  $$0^0$$  is indeterminant

There is no root equivalent.  A power of 0 is not a root.  

Melody May 1, 2014
 #2
avatar
0

the exponent 0 is one, no matter what the number is, the answer will always be one, exept zero, because zero is niether prime nor other. (sorry i don't know the opposite of prime)

 May 1, 2014
 #3
avatar+118725 
0

I think the word you are looking for is composite.  These are positive numbers that have more than 2 factors.  That is, they are divisable by something other than 1 and themselves. 1 is neither prime or composite.  

I probably should google it but if my definition is inaccurate, someone will correct me.

 May 2, 2014

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