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