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√11 B) 2√44 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) a8 B) a6 C) a4 D) a2
- 5. Express the following using positive exponents. 710 ÷ 73
A) 77 B) 730 C) 73 D) 713
- 6. Express the following using positive exponents. (49)2
A) 418 B) 46 C) 411 D) 47
- 7. Express the following using positive exponents. (a7)-3
A) a-21 B) a10 C) a4 D) 1/a21
- 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) x10 B) 1/x5 C) x25 D) 1
- 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) 11√3 B) 33 C) 3√11 D) √33
- 13. Express the following using positive exponents. (54)4
A) 1 B) 5 C) 516 D) 58
- 14. Express the following using positive exponents. (x7)0
A) 1 B) 1/x7 C) 0 D) x7
- 15. Simplify the following. √180
A) 3√10 B) 6√5 C) 2√45 D) 5√5
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