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