2 nd question

Asked by happyakshay095 | 6th May, 2019, 09:52: PM

Expert Answer:

begin mathsize 16px style fraction numerator left parenthesis 243 right parenthesis to the power of begin display style 2 over 5 end style end exponent space space divided by space space open parentheses 32 close parentheses to the power of negative begin display style 2 over 5 end style end exponent over denominator open parentheses begin display style 16 over 81 end style close parentheses to the power of negative begin display style 3 over 4 end style end exponent end fraction
equals space fraction numerator begin display style open parentheses 3 close parentheses to the power of 5 cross times fraction numerator begin display style 2 end style over denominator begin display style 5 end style end fraction end exponent cross times space space open parentheses 2 close parentheses to the power of 5 cross times end exponent 2 over 5 space space end style over denominator begin display style open parentheses 81 over 16 close parentheses to the power of 3 over 4 end exponent end style end fraction
equals space fraction numerator 3 squared cross times 2 squared over denominator begin display style fraction numerator begin display style open parentheses 3 close parentheses to the power of 4 cross times fraction numerator begin display style 3 end style over denominator begin display style 4 end style end fraction end exponent end style over denominator open parentheses 2 close parentheses to the power of 4 cross times fraction numerator begin display style 3 end style over denominator begin display style 4 end style end fraction end exponent end fraction end style end fraction
equals space fraction numerator begin display style 3 squared cross times 2 squared cross times 2 cubed end style over denominator begin display style 3 cubed end style end fraction
equals space fraction numerator 2 squared cross times 2 cubed over denominator 3 end fraction
equals fraction numerator begin display style 2 to the power of 5 end style over denominator begin display style 3 end style end fraction
equals 32 over 3 end style

Answered by Yasmeen Khan | 7th May, 2019, 09:30: AM