Mathematics Mathematics
Worksheet INDICES Worksheet INDICES
Grade 9 Grade 9
Using exponent laws, reduce the following expressions to one exponent. Using exponent laws, reduce the following expressions to one exponent.
1. 46 × 412 1. 46 × 412
2. (912)7 2. (912)7
3. (4 × 7)3 3. (4 × 7)3
Write the following as a single power and then evaluate the expression. Write the following as a single power and then evaluate the expression.
4. 25 × 27 4. 25 × 27
5. 3(mn)4 where m = 6 and n = 5 5. 3(mn)4 where m = 6 and n = 5
6. 8(35)2 6. 8(35)2
Evaluate the following powers, then determine which expression in each set has Evaluate the following powers, then determine which expression in each set has
a lesser value. a lesser value.
7. 2(22)3 or 3(23)2 7. 2(22)3 or 3(23)2
8. 63 × 64 or 36 x 36 8. 63 × 64 or 36 x 36
Simplify. Write answers with positive exponents. Simplify. Write answers with positive exponents.
9. 4
(158) 9. 4
(158)
10. a7(a8)(a) 10. a7(a8)(a)
11. (3m4n6)(2mn)0(2m2n) 11. (3m4n6)(2mn)0(2m2n)
12. 12.
13. (-1x5y6)10 13. (-1x5y6)10
14. 14.
15. × 15. ×
16. (5m3n)(-2mn3) 16. (5m3n)(-2mn3)
17. (7ab)(-a4b3)2(2a5b6)-1 17. (7ab)(-a4b3)2(2a5b6)-1
18. (-9x3y4)(1/3x5)(-2y2 18. (-9x3y4)(1/3x5)(-2y2