Surds and Indices - Aptitude Questions and Answers Part 2

6. (256)^0.16 * (256)^0.09 = ?

a. 4
b. 16
c. 64
d. 256.25


7. Given a = 3 + 2√2. Find (√a - 1/√a).

a. 1
b. 2
c. 2√2
d. 3√3


8. (x^b/x^c)^{(b + c - a)} * (x^c/x^a)^{(c + a - b)} * (x^a/x^b)^{(a + b - c)} = ?

a. 1
b. x^{ab + bc + ca}
c. x^{a + b + c}
d. x^abc


9. Given: Two whole numbers x and y, such that x^y = 121.
Find the value of (x - 1)^{y + 1}

a. 1
b. 10
c. 121
d. 1000