Question

simplify value of (49)-1/4÷(49)1/4

Answer 1

49-(1/4)÷49(1/4)={[(4×49)-1]/4}÷49(1/4)
                          ={[(4×49)-1]/4}×(4/49)
                          =(196-1)/49
                          =195/49
                          =3.98  (approx)

Answer 2

Answer:

$\frac{1}{7}$

Step-by-step explanation:

Given : $(49)^{-\frac{1}{4}} \div (49)^{\frac{1}{4}}$

To Find :simplify

Solution:

$(49)^{-\frac{1}{4}} \div (49)^{\frac{1}{4}}$

$\frac{(49)^{-\frac{1}{4}}}{(49)^{\frac{1}{4}}}$

Property : $\frac{a^m}{a^n}=a^{m-n}$

So,  $(49)^{-\frac{1}{4} -\frac{1}{4}}$

$(49)^{-\frac{2}{4}}$

$(49)^{-\frac{1}{2}}$

$(7^2)^{-\frac{1}{2}}$

$(7)^{-1}$

$\frac{1}{7}$

Hence $(49)^{-\frac{1}{4}} \div (49)^{\frac{1}{4}} =\frac{1}{7}$