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8.N.1 - Apply Laws of Exponents (Multiplication & Division)
  • 1. Apply the rules for exponents to write this expression with one base: 32 x 35
A) 33
B) 37
C) 3-3
D) 90
  • 2. Apply the rules for exponents to write this expression with one base: 73 x 33
A) 103
B) 216
C) 213
D) 106
  • 3. Apply the rules for exponents to write this expression with one base: 412÷44
A) 4
B) 48
C) 416
D) 4-8
  • 4. Apply the rules for exponents to write this expression with one base: 405÷45
A) 3610
B) 365
C) 105
D) 100
  • 5. Apply the rules for exponents to write this expression with one base: (53)4
A) 512
B) 57
C) 51
D) 60
  • 6. Write the rule for multiplying powers with the same base: na x nb =
A) n(b - a): keep the base, subtract the exponents
B) (n x a)(n x b): multiply each base by each exponent then multiply those products by each other
C) n(a + b): keep the base, add the exponents
D) n(a - b): keep the base, subtract the exponents
  • 7. Write the rule for multiplying powers with the same exponents: an x bn =
A) (a x b)(n + n): multiply the bases, add the exponents
B) (a x b)n: multiply the bases, keep the exponent
C) (a + b)n: add the bases, keep the exponent
D) (a + b)(n + n): add the bases, add the exponents
  • 8. Write the rule for dividing powers with the same base: na ÷ nb =
A) n(b - a): keep the base, subtract the exponents
B) n(a - b): keep the base, subtract the exponents
C) n(a + b): keep the base, add the exponents
D) (n x a) ÷ (n x b): multiply the bases by the exponents, divide
  • 9. Write the rule for dividing powers with the same exponent: an ÷ bn =
A) (a - b)(n + n): subtract the bases, add the exponents
B) (a - b)n: subtract the bases, keep the exponent
C) (a ÷ b)n: divide the bases, keep the exponent
D) (a x b)(n - n): multiply the bases, subtract the exponents
  • 10. Write the rule for raising a power to a power: (ab)c
A) a(b - c): keep the base, subtract the exponents
B) a(b x c): keep the base, multiply the exponents
C) a(b + c): keep the base, add the exponents
D) (a x b x c): multiply the base by both exponents
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