(-3) to the power of 3 x 2 power 6 divided by 6 x 2 power 3

Asked by punu2003 | 15th Sep, 2019, 05:35: PM

Expert Answer:

begin mathsize 16px style fraction numerator left parenthesis negative 3 right parenthesis cubed cross times left parenthesis 2 right parenthesis to the power of 6 over denominator 6 space cross times space left parenthesis 2 right parenthesis cubed end fraction equals space left parenthesis negative 1 right parenthesis cubed cross times space left parenthesis 3 right parenthesis cubed cross times left parenthesis 3 right parenthesis to the power of negative 1 end exponent space cross times left parenthesis 2 right parenthesis to the power of negative 3 end exponent cross times left parenthesis 2 right parenthesis to the power of negative 1 end exponent cross times left parenthesis 2 right parenthesis to the power of 6 space space space space space space space space space space space space space space space... space straight a to the power of straight m space equals 1 over straight a to the power of negative straight m end exponent
space space space space space space space space space space space space space space space space space space space equals space minus 1 space cross times 3 to the power of 3 minus 1 end exponent cross times 2 to the power of 6 minus 4 end exponent space space space space space space space space space space space space space space space space space space space..... space straight a to the power of straight m space cross times space straight a to the power of straight n space equals space straight a to the power of straight m plus straight n end exponent
space space space space space space space space space space space space space space space space space space space equals space minus 1 space cross times 3 squared space cross times 2 squared space space
space space space space space space space space space space space space space space space space space space space equals space minus 1 cross times 9 cross times 4
space space space space space space space space space space space space space space space space space space space equals space minus 36 space space space space space end style

Answered by Yasmeen Khan | 16th Sep, 2019, 12:39: PM