SELF-TEST USING THE RULES OF EXPONENTS

 

Complete each of the following exercises.  Try to do them without using any notes or rule sheets  – it will be a good self-test on your knowledge of the rules of exponents.

 

 

1)       =                                                               11)  43 × 46 =

 

 

2)      (ambp)n =                                                                12)  (23)2 =

 

 

 

3)      a-n =                                                                       13)  56 × 5-11 × 57 =

 

 

4)                                                                    14)  3-2 =

 

 

5)      (am)n  =                                                                  15)  (5-9)-4 × 58 =

 

 

6)      am × an =                                                                 16) 

 

 

7)      If m > n, then                                                17) 

 

 

8)      If n > m, then                                                18)  6(2)0 =

 

 

9)      a0 =                                                                        19)  (x2y3)2(x4y-2)3 =

 

 

10)                                                                     20)  (x4y3)2(xz3)-2(y5m-2)-3 =

 

 

 

Answers:

 

 

1)                                                                11)  49

 

 

2)      amnbpn                                                         12)  26

 

 

 

3)                                                                  13)  52 = 25

 

 

4)                                                                14) 

 

 

5)      amn                                                             15)  544

 

 

6)      am+n                                                            16)  66

 

 

7)      am-n                                                            17) 

 

 

8)      am-n =                                                18)  6 × 1 = 6

 

 

9)      1                                                                19)  x16y0 = x16

 

 

10)  an                                                              20)