Question

If q^1/2 = x, x^-1/4 = 4^-1/2, what is the value of q? Plz help me!

Answer 1

x ^ - 1/4 = 4 ^ -1/2

mean:

1 / fourth root of x = 1 / square root of 4

1 / fourth root of x = 1 / 2

Taking reciprocial of both sides:

fourth root of x = 2

Rise both sides to the power of four

x = 2 ^ 4

x = 16


q^ 1/2 = x mean :

square root of q = x

Rise both sides to the power of two

q = x ^ 2

q = 16 ^ 2

q = 256

Answer 2

x^-1/4 = 4^-1/2, what is the value of q?^


raise both sides to the - 4th power

multiply - 1/4 times -4 = 1
multiply -1/2 times -4 = 2

x = 4^2 x = 16 Now you can find q.