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