evaluate (16^(-1/4))/(4-^(1/2))

Question

a. -1
b. 1
c. 2
d. 4

Answer 1

 16 ^-1/4 / 4 ^{-1/2  =}  1/ (16^1/4 ) * ( 4^1/2) = 2/ 2 = 1

 

 Negative exponent is reciprocate of quantity to positive exponent.

 

   a^-n = (1/a)ⁿ

 

   Fractional exponent is same as roots

 

       8 ^2/3= ^3√8^{2 =} (3√2³)²=2²=4