Simplifying Radicals and Exponent Rules
  • 1. Simplify the following. √156
A) 156
B) 4√39
C) 2√39
D) √156
  • 2. Simplify the following. 2√88
A) 2√11
B) 4√22
C) 2√22
D) 2√44
  • 3. Simplify the following. 3√25
A) 5
B) 15√5
C) 15
D) 3√5
  • 4. Express the following using positive exponents. a4 × a2
A) a4
B) a8
C) a2
D) a6
  • 5. Express the following using positive exponents. 710 ÷ 73
A) 77
B) 73
C) 730
D) 713
  • 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) a4
B) a-21
C) 1/a21
D) a10
  • 8. Express the following using positive exponents. 5-4 × 5-3
A) 1/57
B) 5
C) 5-7
D) 57
  • 9. Express the following using positive exponents. x5 ÷ x-5
A) 1
B) x10
C) x25
D) 1/x5
  • 10. Express the following using positive exponents. 94 ÷ 93
A) 97
B) 1/9
C) 9
D) 96
  • 11. Express the following using positive exponents. x9 × x-6
A) x3
B) 1/x3
C) x15
D) x-3
  • 12. Simplify the following. √33
A) √33
B) 3√11
C) 11√3
D) 33
  • 13. Express the following using positive exponents. (54)4
A) 5
B) 58
C) 516
D) 1
  • 14. Express the following using positive exponents. (x7)0
A) 0
B) 1
C) 1/x7
D) x7
  • 15. Simplify the following. √180
A) 5√5
B) 3√10
C) 6√5
D) 2√45
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