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CBSE Class 10 Answered

How anything  raise to power 0 gives 1?

Can you please  make it understand 

Asked by sarvaiya40 | 14 Apr, 2019, 09:03: PM
Expert Answer
We know that,
 
x ÷ xb = begin mathsize 16px style straight x to the power of straight a over straight x to the power of straight b end style = xa-b   .... Law of indices or exponents
Here x is a non- zero number and a, b are real numbers.
 
We know that,
 
begin mathsize 16px style 3 to the power of 1 over 3 to the power of 1 space equals space 1 space space space space rightwards double arrow space 3 to the power of 1 minus 1 end exponent space equals space 1 space rightwards double arrow space 3 to the power of 0 space equals 1 end style
Therefore anything raise to power 0 is equal to 1.
 

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