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# why is a number to the power of 0 always 1?

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why is a number to the power of 0 always 1?

Guest Sep 30, 2014

#1
+81007
+8

As long as the number isn't 0, we can derivie this from the Laws of Exponents.....

Note that    an / an =    an-n  = a0

But, any number divided by itself (except for 0)  is always = 1

Therefore...... an / an  = 1  →  a= 1

Note 00 is known as an "indeterminant" form......(we can't say what it is  !!!!)

CPhill  Sep 30, 2014
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#1
+81007
+8

As long as the number isn't 0, we can derivie this from the Laws of Exponents.....

Note that    an / an =    an-n  = a0

But, any number divided by itself (except for 0)  is always = 1

Therefore...... an / an  = 1  →  a= 1

Note 00 is known as an "indeterminant" form......(we can't say what it is  !!!!)

CPhill  Sep 30, 2014

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