# Surds And Indices -Aptitude Questions And Answers

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## Surds And Indices -Aptitude Questions And Answers

1. (132)^7 × (132)^? = (132)^11.5.

2. (a/b)^x-2=(b/a)^x-7. What is the value of x ?

3. If 7^(x - y) = 343 and 7^(x + y) = 16807, what is the value of x?

4. (0.04)^-2.5 = ?

5. (6)^6.5 × (36)^4.5 ÷ (216)^4.5 = (6)?

6. (17)^3.5 x (17)^? = 17^8

7. If  (a/b)^x - 1 =  (b/a)^x - 3 , then the value of x is:

8. Given that 10^0.48 = x, 10^0.70 = y and x^z = y^2, then the value of z is close to:

9. If 5^a = 3125, then the value of 5^(a - 3) is:

10. If 3^(x - y) = 27 and 3^(x + y) = 243, then x is equal to:

11. The value of (256)^5/4 is:

12. If 5^a= 3125, then the value of 5^(a-3) is

13. 5^a = 3125 = 5^a = 5^5
a = 5.
5^(1-3) = 5^(5-3) = 5^2 = 25.

14. (1000)^7 ÷ 10^18 = ?

15. (17)^3.5 * (17)^? = 17^8

16. Simplify the following: (169/121)^-3/2 * 27/2 * (13/22)^-1

17. (27^2/4^-3)^-5/6 = ?

18. (5 - 7)^2 * (6 - 9)^2 / (2^3)^-2 = ?

19. (a^-3 b^-2 / a^2 b^2)^-3 * (a^3 b^-4 / a^-3 b^3) / (a^-2 b^3/a^-4 b^-3) = ?

20. (8x^9 / 27y^-6)^-2/3 = ?

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