9 to the power -1 * 5 to the power 3 / 3 to the power -3

Asked by samruddhikhedkar85.8spicertl | 29th May, 2020, 10:25: AM

Expert Answer:

begin mathsize 16px style fraction numerator 9 to the power of negative 1 end exponent cross times 5 cubed over denominator 3 to the power of negative 3 end exponent end fraction
equals fraction numerator open parentheses 3 squared close parentheses to the power of negative 1 end exponent cross times 5 cubed over denominator 3 to the power of negative 3 end exponent end fraction
equals 3 to the power of negative 2 end exponent cross times 3 cubed cross times 5 cubed space space space space space space space space space space space space space space space space space space space space.... 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 space space and space 1 over straight a to the power of negative straight m end exponent equals straight a to the power of straight m
equals 3 cross times 5 cubed space space space space space space space space space space...... space straight a to the power of straight m cross times straight a to the power of straight n equals straight a to the power of straight m plus straight n end exponent
equals 375 end style

Answered by Yasmeen Khan | 29th May, 2020, 10:54: AM