find the value of the following

Asked by kritikarautela16.8cpsb | 30th 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 | 31st May, 2021, 12:57: PM