-5/9 to the power-3 * -5/9to the power 2 *-5/9 to the power 1

Asked by soumyajagtap11.8spicertl | 27th May, 2020, 07:42: PM

Expert Answer:

begin mathsize 16px style open parentheses fraction numerator negative 5 over denominator 9 end fraction close parentheses to the power of negative 3 end exponent cross times open parentheses fraction numerator negative 5 over denominator 9 end fraction close parentheses squared cross times open parentheses fraction numerator negative 5 over denominator 9 end fraction close parentheses to the power of 1
equals open parentheses fraction numerator negative 5 over denominator 9 end fraction close parentheses to the power of negative 3 plus space 2 end exponent cross times open parentheses fraction numerator negative 5 over denominator 9 end fraction close parentheses to the power of 1 space space.... space since space space straight a to the power of straight m cross times straight a to the power of straight n space equals straight a to the power of straight m plus straight n end exponent space
equals open parentheses fraction numerator negative 5 over denominator 9 end fraction close parentheses to the power of negative 1 end exponent cross times open parentheses fraction numerator negative 5 over denominator 9 end fraction close parentheses to the power of 1
equals open parentheses fraction numerator negative 5 over denominator 9 end fraction close parentheses to the power of negative 1 plus 1 end exponent
equals open parentheses fraction numerator negative 5 over denominator 9 end fraction close parentheses to the power of 0 space space space space
equals space 1 space space space space space space..... space since space straight a to the power of 0 space equals space 1 end style

Answered by Yasmeen Khan | 27th May, 2020, 11:37: PM