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9Math Q03-1001
Chapter 3
Exponents and Radicals

1. If 23x+3 = 8272, then x is equal to…..
   A.2 B.3 C.5 D.8 E.9

2. If 312x+1 . 3x+4= 99, then x=……….
   A.4 B.5 C.6 D.7 E.1
   4.288 + 200 + 392 =……..
   A.202 B.162 C.102 D.82 E.42

                    p times
   

3. Simplify a×a×a……aa+a+a+⋯a
   p terms
   A.ap-1p B.pap2 C.app-2 D.p2 E.1

4. The value of 2-1-1-1is
   A.2 B.-2 C.-12 D.14 E.12
   7.532532 =…….
   A.1 B.0 C.25 D.125 E.625
   8.-1-1 +-10 =……….
   A. 2 B.1 C.0 D. -1 E.-2

5. Which of the following is (are) false?
   1.a+b2 =a2 +b2 2.a+b =a +b 3.(ab)2 =a2b2
   A.1 only B. 2only C. 3 only D. 1 and 2 only E. None of these
   10.a2+b22a+ba-b2 =………….
   A.(a+b)3 B.(a-b)3 C.(a-b)(a+b) D.(a-b)2 (a+b) E.(a-b)(a+b)3
   11.If 152x+1=1 ,then x=……….
   A. -1 B. 0 C. 12 D. -12 E.-2

6. If (0.2)x=125 , then x=………
   A. -3 B.0 C.3 D.4 E.5

7. If 4x+1=8x, then x=……..
   A. -3 B.-2 C.-1 D.1 E.2
   14.If 3x+1=8x+1, then x=……….
   A.0 B. -1 C.1 D.12 E. None of above
   15.(-4)-1+(-1)-4=……….
   A. -2 B.-4 C.34 D.-34 E.-114

8. 0.2-2 =……..
   A. 0.4 B.0.004 C.4 D.5 E.125

9. Which of the following is (are) true?

   1. 2100<1525 2.6100-1 is divisible by 5 3. 312<513
      A.1 only B. 2only C. 3 only D. 1 and 2 only E.1 and 3 only

10. yyy =…….
    A. y12 B. y32 C.y54 D.y58 E.y78

11. x-2+y-2=……..
    A.(x+y)-2 B. (xy)-2 C. (x2+y2)(xy)-2 D.x2+y2 E. (xy)(x+y)-2
    20.If x4 =10, what is x6?
    A.1010 B.100 C.100 10 D.1000 E.100010
    21.(0.1)3+ 0.000004 =……….
    A.0.3 B.0.2001 C.0.1002 D.0.021 E.0.003

12. If x=5 + 2 and y= 5 - 2 ,then x2+y3=……….
    A.1 B.9 C.18 D.45 E.85

13. 5x+5x+1=150. then x=………..
    A.2 B.1 C.0 D.-1 E. -2

14. If 7+3x = x7+3 , then x=……….
    A. 2 B.-2 C.4 D.-4 E. 2 or -2

15. If √2 =1.41 and √3 =1.73 , then the value of 8 +12 =……..
    A. 2.82 B.3.14 C.4.28 D.6.28 E.3.46

16. 23x= 18 , then x=……..
    A.-2 B.-3 C.2 D.-6 E.6

17. x+yx-1+ y-1 =………..
    A. xy B. x+y C. x-y D. (x+y)2 E.x+yxy
    28.If (√5 -1)√k =√2 , then k=……….
    A.3-54 B. 3+54 C.5+2 D.√5 +6 E.2√5 + 6

18. 3n-2 × 92-n32-n = …………
    30.If xa(xa-1)a(xa)1-a=xk , then k=………
    A. 2a+1 B.a+a2 C.3a D.3a+1 E.a3+a

19. If 16x=4 and 5x+y=625 , then y=……….
    A.2 B.5 C.252 D. 72 E.1

20. If 72x.492x-1, then y=……….
    A.-1 B. -13 C.13 D.1 E.3

21. 3+13-1 - 3-13 =………
    A. 0 B. 12 C. 3 D.23 E. 12+23

22. If x + 1x =1+3 , then x2 +1x2 =………….
    A. 1 B. 4 C. 1+23 D.2+23 E. 3+23

23. If 4×2x-4x=0, then x=……….
    A.-2 B.-1 C.0 D.1 E.3

24. 11+2 + 12+3 +13+ 4 +14+ 5 =……..
    A.11-5 B.16-1 C. 1+5 D.1-5 E. -1+5

25. Simplify aa+b - ba-b
    A.1a- b B. a-2ab-ba- b C.a-2ab-ba-b D. a+2ab-ba-b E. a+ba-b
    38.18+623 =………
    A. 332 B. 2 C. 42 D. 22 E.3

1. Given that 8-3 + 2-3=130× 2x., then x=………
   A. 10 B.-10 C.5 D.-1 E. 1
2. If 9x+2=36, then 3x=……….
   A.23 B.12 C. 43 D.34 E. 6

…………………………………………………………………………………………………….
Thank you!