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) 2√44
B) 2√11
C) 2√22
D) 4√22
- 3. Simplify the following. 3√25
A) 3√5
B) 15
C) 15√5
D) 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) 713
B) 730
C) 73
D) 77
- 6. Express the following using positive exponents. (49)2
A) 46
B) 418
C) 411
D) 47
- 7. Express the following using positive exponents. (a7)-3
A) a10
B) 1/a21
C) a-21
D) a4
- 8. Express the following using positive exponents. 5-4 × 5-3
A) 5
B) 1/57
C) 57
D) 5-7
- 9. Express the following using positive exponents. x5 ÷ x-5
A) 1
B) x10
C) 1/x5
D) x25
- 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) x15
B) x-3
C) 1/x3
D) x3
- 12. Simplify the following. √33
A) 3√11
B) 33
C) √33
D) 11√3
- 13. Express the following using positive exponents. (54)4
A) 58
B) 5
C) 1
D) 516
- 14. Express the following using positive exponents. (x7)0
A) x7
B) 1
C) 1/x7
D) 0
- 15. Simplify the following. √180
A) 6√5
B) 2√45
C) 5√5
D) 3√10
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