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Simplifying Radicals and Exponent Rules
Contributed by: Pirie
  • 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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