8.N.1 - Apply Laws of Exponents (Multiplication & Division)

- 1. Apply the rules for exponents to write this expression with one base: 3
^{2}x 3^{5}
A) 90 B) 3 ^{3}C) 3 ^{7}D) 3 ^{-3}- 2. Apply the rules for exponents to write this expression with one base: 7
^{3}x 3^{3}
A) 10 ^{6}B) 21 ^{3}C) 10 ^{3}D) 21 ^{6}- 3. Apply the rules for exponents to write this expression with one base: 4
^{12}÷4^{4}
A) 4 B) 4 ^{-8}C) 4 ^{16}D) 4 ^{8}- 4. Apply the rules for exponents to write this expression with one base: 40
^{5}÷4^{5}
A) 36 ^{10}B) 36 ^{5}C) 10 ^{5}D) 10 ^{0}- 5. Apply the rules for exponents to write this expression with one base: (5
^{3})^{4}
A) 5 ^{7}B) 5 ^{1}C) 5 ^{12}D) 60 - 6. Write the rule for multiplying powers with the same base: n
^{a}x n^{b}=
A) n ^{(a - b)}: keep the base, subtract the exponentsB) n ^{(a + b)}: keep the base, add the exponentsC) (n x a)(n x b): multiply each base by each exponent then multiply those products by each other D) n ^{(b - a)}: keep the base, subtract the exponents- 7. Write the rule for multiplying powers with the same exponents: a
^{n}x b^{n}=
A) (a + b) ^{(n + n)}: add the bases, add the exponentsB) (a x b) ^{n}: multiply the bases, keep the exponentC) (a x b) ^{(n + n)}: multiply the bases, add the exponentsD) (a + b) ^{n}: add the bases, keep the exponent- 8. Write the rule for dividing powers with the same base: n
^{a}÷ n^{b}=
A) (n x a) ÷ (n x b): multiply the bases by the exponents, divide B) n ^{(a - b)}: keep the base, subtract the exponentsC) n ^{(a + b)}: keep the base, add the exponentsD) n ^{(b - a)}: keep the base, subtract the exponents- 9. Write the rule for dividing powers with the same exponent: a
^{n}÷ b^{n}=
A) (a ÷ b) ^{n}: divide the bases, keep the exponentB) (a - b) ^{n}: subtract the bases, keep the exponentC) (a - b) ^{(n + n)}: subtract the bases, add the exponentsD) (a x b) ^{(n - n)}: multiply the bases, subtract the exponents- 10. Write the rule for raising a power to a power: (a
^{b})^{c}
A) (a x b x c): multiply the base by both exponents B) a ^{(b + c)}: keep the base, add the exponentsC) a ^{(b x c)}: keep the base, multiply the exponentsD) a ^{(b - c)}: keep the base, subtract the exponents |

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