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CBSE Class 8 Answered

find the value of the following
Asked by kritikarautela16.8cpsb | 30 May, 2021, 09:36: PM
Expert Answer
begin mathsize 16px style open parentheses 7 to the power of negative 2 end exponent cross times 2 to the power of negative 5 end exponent close parentheses cross times 4 to the power of 4
equals 7 to the power of negative 2 end exponent space cross times space open parentheses 2 to the power of negative 5 end exponent cross times 4 to the power of 4 close parentheses space space.... associativity
equals space 7 to the power of negative 2 end exponent space cross times space open square brackets 2 to the power of negative 5 end exponent cross times open parentheses 2 squared close parentheses to the power of 4 close square brackets space..... open parentheses straight a to the power of straight m close parentheses to the power of straight n equals straight a to the power of mn
equals 7 to the power of negative 2 end exponent space cross times space open parentheses 2 to the power of negative 5 end exponent cross times 2 to the power of 8 close parentheses
equals 7 to the power of negative 2 end exponent space cross times space 2 to the power of negative 5 plus 8 end exponent space....... straight a to the power of straight m cross times straight a to the power of straight n space end exponent equals straight a to the power of straight m plus straight n end exponent
equals 7 to the power of negative 2 end exponent space cross times space 2 cubed
equals 1 over 7 squared cross times 8 space space..... straight a to the power of negative straight m end exponent equals 1 over straight a to the power of straight m
equals 8 over 49 end style
Answered by Yasmeen Khan | 31 May, 2021, 12:57: PM
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