Test Questions

Try some of the following to test your skills:

Simplify, leaving your answer in index form:

1. 73 x 7 = 9.
23 x (22)4 =
25
2. 56 x 52 = 10. 64 =
3. 95 ÷ 90 = 11. 2−3 =
4. 35 ÷ 3-2 = 12. 5
5.
10 x 103 =
102
13. 4
6. (43)4 = 14.
2−1 + ( 1 )   =  
16
7. 72 x 78 x 73 = 15. 9 ÷ 8
8. 312 x 35 ÷ 34 =    

 

 

Answers:

1. 74 9. 27
2. 58 10. 8
3. 95 11.
1
8
4. 37 12.
1
5
5. 102 13.
1
8
6. 47 14.
3
4
7. 713 15. 31
8. 313    

 

Remember the rules of indices:

 

Multiplying powers with the same base     am x an = am+n

Dividing powers with the same base         am ÷ an = am−n

Raising a power to a power                     (am)n = amn

Raising any number to the power zero     a0= 1   (also a1= a)

Negative powers and reciprocals       a−m   =  1    (a−m is the reciprocal of am)
am

 

 

Fractional powers and roots            and