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CBSE Class 7 Answered

If any number is powered up by 0,what will be the result?why?
Asked by amu_bgr | 08 Apr, 2019, 02:24: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space number space be space straight x.
To space prove space that colon space straight x to the power of 0 space space equals space 1

We space know space that space straight x to the power of left parenthesis straight n minus 1 right parenthesis end exponent space equals space straight x to the power of straight n space cross times space straight x to the power of negative 1 end exponent space equals space straight x to the power of straight n over straight x space space space space...... space left parenthesis straight i right parenthesis
straight L. straight H. straight S space equals space straight x to the power of 0 space equals straight x to the power of left parenthesis 1 minus 1 right parenthesis end exponent space space equals space straight x to the power of 1 over straight x space equals space 1 space equals space straight R. straight H. straight S
Hence space proved colon

Example colon
2 to the power of 0 space equals space 2 to the power of left parenthesis 1 minus 1 right parenthesis end exponent space equals space 2 to the power of 1 over 2 space equals space 1




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