Simplify:

1.(2^-1-3^-1)/(4^-1+6^-1)

2.[(1/2)^-1/(1/4)^-1]*(5/2)^-3

3.(-7)^-2*3^-1*11^-2*a^-4/22^-4*21^-3*a^-6

4.(-8)^-2*5^-3*(-7)^-4*2^4/(-5)^-7*28^-3*16^4

Asked by Cl_narayan | 13th Jun, 2019, 12:47: PM

Expert Answer:

begin mathsize 16px style fraction numerator open parentheses 2 to the power of negative 1 end exponent minus 3 to the power of negative 1 end exponent close parentheses over denominator 4 to the power of negative 1 end exponent plus 6 to the power of negative 1 end exponent end fraction
equals fraction numerator begin display style 1 half minus 1 third end style over denominator begin display style 1 fourth plus 1 over 6 end style end fraction
equals fraction numerator begin display style fraction numerator 3 minus 2 over denominator 6 end fraction end style over denominator begin display style fraction numerator 3 plus 2 over denominator 12 end fraction end style end fraction
equals fraction numerator begin display style 1 over 6 end style over denominator begin display style 5 over 12 end style end fraction
equals 1 over 6 cross times 12 over 5
equals 2 over 5 end style

Answered by Sneha shidid | 13th Jun, 2019, 02:20: PM