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CBSE Class 10 Answered

We know that anything to the power of zero is 1,then what will be the value of zero to the power of zero??
Asked by | 12 Jan, 2013, 03:11: PM
answered-by-expert Expert Answer

00 = 1

This seems to bother some people offhand, but x = 0 is not an exception to the above rule: It's indeed true that  00 = 1 .
 
The most fundamental explanation is that an empty product [the product of no factor(s), which is what a zeroth power is] cannot possibly depend on the value of any factor since you are not using any such factor to form the "product". Thus, the value obtained for the zeroth power of any nonzero x must also be the correct value when x is zero.
Answered by | 13 Jan, 2013, 10:28: AM

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