[(5 ^(-1) - 3 ^(-2)+3^3]^-1

Asked by trivedijuhi7312 | 5th Oct, 2020, 08:10: AM

Expert Answer:

 
begin mathsize 16px style open parentheses 5 to the power of negative 1 end exponent minus 3 to the power of negative 2 end exponent plus 3 cubed close parentheses to the power of negative 1 end exponent
equals fraction numerator 1 over denominator 5 to the power of negative 1 end exponent minus 3 to the power of negative 2 end exponent plus 3 cubed end fraction
equals fraction numerator 1 over denominator begin display style 1 fifth end style minus begin display style 1 over 3 squared end style plus 3 cubed end fraction
equals fraction numerator 1 over denominator begin display style 1 fifth minus 1 over 9 plus 27 end style end fraction
equals fraction numerator 1 over denominator begin display style 4 over 45 end style plus 27 end fraction
equals fraction numerator 45 over denominator 4 plus 27 asterisk times 45 end fraction
equals 45 over 1219 end style

Answered by Yasmeen Khan | 5th Oct, 2020, 09:47: AM