Simplifying Radicals and Exponent Rules
- 1. Simplify the following. √156
A) 2√39
B) 156
C) 4√39
D) √156
- 2. Simplify the following. 2√88
A) 2√11
B) 2√44
C) 2√22
D) 4√22
- 3. Simplify the following. 3√25
A) 15
B) 15√5
C) 3√5
D) 5
- 4. Express the following using positive exponents. a4 × a2
A) a8
B) a4
C) a2
D) a6
- 5. Express the following using positive exponents. 710 ÷ 73
A) 713
B) 73
C) 730
D) 77
- 6. Express the following using positive exponents. (49)2
A) 47
B) 46
C) 418
D) 411
- 7. Express the following using positive exponents. (a7)-3
A) 1/a21
B) a4
C) a10
D) a-21
- 8. Express the following using positive exponents. 5-4 × 5-3
A) 5
B) 57
C) 5-7
D) 1/57
- 9. Express the following using positive exponents. x5 ÷ x-5
A) 1
B) x25
C) 1/x5
D) x10
- 10. Express the following using positive exponents. 94 ÷ 93
A) 9
B) 96
C) 1/9
D) 97
- 11. Express the following using positive exponents. x9 × x-6
A) x-3
B) x3
C) 1/x3
D) x15
- 12. Simplify the following. √33
A) 3√11
B) √33
C) 11√3
D) 33
- 13. Express the following using positive exponents. (54)4
A) 58
B) 5
C) 516
D) 1
- 14. Express the following using positive exponents. (x7)0
A) 1
B) x7
C) 0
D) 1/x7
- 15. Simplify the following. √180
A) 2√45
B) 3√10
C) 5√5
D) 6√5
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