open parentheses 8 over 27 close parentheses space to the power of begin inline style fraction numerator negative 2 over denominator 3 end fraction end style end exponent space minus open parentheses 1 third close parentheses to the power of negative 2 end exponent minus 7 to the power of 0

Asked by rahmaankhalil | 12th Mar, 2019, 07:05: PM

Expert Answer:

open parentheses 8 over 27 close parentheses to the power of fraction numerator negative 2 over denominator 3 end fraction end exponent minus open parentheses 1 third close parentheses to the power of negative 2 end exponent minus 7 to the power of 0
equals open parentheses open parentheses fraction numerator begin display style 8 end style over denominator begin display style 27 end style end fraction close parentheses to the power of 1 third end exponent close parentheses to the power of negative 2 end exponent minus open parentheses fraction numerator begin display style 1 end style over denominator begin display style 3 end style end fraction close parentheses to the power of negative 2 end exponent minus 7 to the power of 0
equals open parentheses fraction numerator begin display style 2 end style over denominator begin display style 3 end style end fraction close parentheses to the power of negative 2 end exponent minus open parentheses fraction numerator begin display style 1 end style over denominator begin display style 3 end style end fraction close parentheses to the power of negative 2 end exponent minus 1
equals 9 over 4 minus 9 over 1 minus 1
equals fraction numerator negative 31 over denominator 4 end fraction

Answered by Arun | 13th Mar, 2019, 09:38: AM

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