(3 to the power -2 -3tothe power -3) ×(3to the power 0 + 3to the power-1 ) find the value 

Asked by soumyajagtap11.8spicertl | 22nd May, 2020, 04:30: PM

Expert Answer:


begin mathsize 16px style open parentheses 3 to the power of negative 2 end exponent space minus space 3 to the power of negative 3 end exponent close parentheses open parentheses 3 to the power of 0 space plus space 3 to the power of negative 1 end exponent close parentheses
equals space open parentheses 1 over 3 squared minus 1 over 3 cubed close parentheses open parentheses 1 space plus space 1 third close parentheses..... space since space space straight a to the power of negative straight m end exponent space equals 1 over straight m
equals space 1 over 3 squared open parentheses 1 space minus space 1 third close parentheses open parentheses 1 space plus space 1 third close parentheses
equals 1 over 3 squared open parentheses 1 space minus space 1 over 3 squared close parentheses........ space since space space left parenthesis straight a space minus space straight b right parenthesis left parenthesis straight a space plus space straight b right parenthesis space equals space straight a squared space minus space straight b squared
equals 1 over 9 open parentheses 1 space minus 1 over 9 close parentheses
equals 1 over 9 cross times 8 over 9
equals 8 over 81 end style

Answered by Yasmeen Khan | 22nd May, 2020, 07:47: PM