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