Simplifying Radicals and Exponent Rules
  • 1. Simplify the following. √156
A) 156
B) √156
C) 4√39
D) 2√39
  • 2. Simplify the following. 2√88
A) 2√44
B) 2√22
C) 4√22
D) 2√11
  • 3. Simplify the following. 3√25
A) 5
B) 3√5
C) 15
D) 15√5
  • 4. Express the following using positive exponents. a4 × a2
A) a8
B) a6
C) a2
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) 411
B) 418
C) 47
D) 46
  • 7. Express the following using positive exponents. (a7)-3
A) a-21
B) 1/a21
C) a10
D) a4
  • 8. Express the following using positive exponents. 5-4 × 5-3
A) 57
B) 1/57
C) 5-7
D) 5
  • 9. Express the following using positive exponents. x5 ÷ x-5
A) 1
B) x25
C) x10
D) 1/x5
  • 10. Express the following using positive exponents. 94 ÷ 93
A) 1/9
B) 97
C) 9
D) 96
  • 11. Express the following using positive exponents. x9 × x-6
A) x15
B) x3
C) 1/x3
D) x-3
  • 12. Simplify the following. √33
A) 3√11
B) 11√3
C) √33
D) 33
  • 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) 1/x7
B) 1
C) 0
D) x7
  • 15. Simplify the following. √180
A) 5√5
B) 2√45
C) 3√10
D) 6√5
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