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Products, Quotients, and Powers of Powers Quick Check
Contributed by: Santana
(Original author: Pendergast)
  • 1. Mariam wants to simplify53(54). What must she do?
A) Keep the base the same and add the exponents.
B) Divide the bases and subtract the exponents.
C) Divide the bases and add the exponents.
D) Keep the base the same and subtract the exponents.
  • 2. Write the Expanded Form- don't write multiplication symbols or parentheses (x3)(x5)
  • 3. Simplify x2x5x use caret ^ for exponent and no spaces
  • 4. Simplify (3a2b3)(-2b6)
A) -6ab3
B) 6a2/b9
C) -6a2b9
D) 1a2b9
  • 5. In order to find a power of a power, you can...
A) Keep the base the same and multiply the exponents
B) Keep the base the same and divide the exponents
C) Keep the base the same and subtract the exponents
D) Keep the base the same and add the exponents
  • 6. Mariam wants to simplify 55/54. What must she do?
A) Divide the bases and add the exponents
B) Keep the base the same and subtract the exponents
C) Divide the bases and subtract the exponents.
D) Keep the base the same and add the exponents.
  • 7. Simplify c8/c4
A) c2
B) c12
C) c4
D) c32
  • 8. Simplify (10a3b5)/(5ab2)
A) 2a3b3
B) 5a3b3
C) 2a2b3
D) 5a2b3
  • 9. Simplify (b3)4
A) b7
B) b3/4
C) b81
D) b12
  • 10. Simplify (3x2y5)2
A) 6x4y10
B) 3x4y10
C) 9x4y10
D) 3x4y7
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