Exponent Notation 3
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 5 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- 5
- Answered
- Review
-
Question 1 of 5
1. Question
Simplify`6 xx a^2 xx 4a^3 xx a`Hint
Help VideoCorrect
Well Done!
Incorrect
Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$First, separate the numbers and the variables and bring like terms together.`6 xx a^2 xx 4a^3 xx a` `=` `6 xx a^2 xx 4 xx a^3 xx a` `=` `6 xx 4 xx a^2 xx a^3 xx a` Next, using the Product of Powers, bring similar bases together.Remember that any base without a power means to the power of `1`.`6 xx 4 xx a^2 xx a^3 xx a` `=` `6^1``xx``4^1``xx``a^2``xx``a^3``xx``a^1` `=` $$\color{#00880A}{24} \times \color{#9a00c7}{a}^{2+3+1}$$ `=` $$\color{#00880A}{24} \times \color{#9a00c7}{a}^6$$ `=` `24a^6` `24a^6` -
Question 2 of 5
2. Question
Simplify`(a xx a xx a xx a)/(a xx a)`Hint
Help VideoCorrect
Great Work!
Incorrect
Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$Quotient of Powers
$${\color{#00880A}{a}^m}\div{\color{#00880A}{a}^n}=\frac{{\color{#00880A}{a}^m}}{{\color{#00880A}{a}^n}}=\color{#00880A}{a}^{m-n}$$Using the Product of Powers, bring similar bases together.Remember that any base without a power means to the power of `1`.`(a xx a xx a xx a)/(a xx a)` `=` $$\frac{\color{#00880A}{a}^1 \times \color{#00880A}{a}^1 \times \color{#00880A}{a}^1 \times \color{#00880A}{a}^1}{\color{#00880A}{a}^1 \times \color{#00880A}{a}^1}$$ `=` $$\frac{\color{#00880A}{a}^{1+1+1+1}}{\color{#00880A}{a}^{1+1}}$$ `=` $$\frac{\color{#00880A}{a}^4}{\color{#00880A}{a}^2}$$ Simplify further using the Quotient of Powers.$$\frac{\color{#00880A}{a}^4}{\color{#00880A}{a}^2}$$ `=` $$\color{#00880A}{a}^{4-2}$$ `=` `a^2` `a^2` -
Question 3 of 5
3. Question
Simplify`(4c xx c xx c)/(c xx c)`- (4c)
Hint
Help VideoCorrect
Correct!
Incorrect
Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$Quotient of Powers
$${\color{#00880A}{a}^m}\div{\color{#00880A}{a}^n}=\frac{{\color{#00880A}{a}^m}}{{\color{#00880A}{a}^n}}=\color{#00880A}{a}^{m-n}$$Using the Product of Powers, bring similar bases together.Remember that any base without a power means to the power of `1`.`(4c xx c xx c)/(c xx c)` `=` $$\frac{4 \times \color{#00880A}{c}^1 \times \color{#00880A}{c}^1 \times \color{#00880A}{c}^1}{\color{#00880A}{c}^1 \times \color{#00880A}{c}^1}$$ `=` $$\frac{4 \times \color{#00880A}{c}^{1+1+1}}{\color{#00880A}{c}^{1+1}}$$ `=` $$\frac{4 \times \color{#00880A}{c}^3}{\color{#00880A}{c}^2}$$ Simplify further using the Quotient of Powers.$$\frac{4 \times \color{#00880A}{c}^3}{\color{#00880A}{c}^2}$$ `=` $$4\color{#00880A}{c}^{3-2}$$ `=` `4c` A power of `1` does not need to be written `4c` -
Question 4 of 5
4. Question
Simplify`(3 xx y xx y xx y xx z xx z xxz)/(y xx y)`Hint
Help VideoCorrect
Nice Job!
Incorrect
Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$Quotient of Powers
$${\color{#00880A}{a}^m}\div{\color{#00880A}{a}^n}=\frac{{\color{#00880A}{a}^m}}{{\color{#00880A}{a}^n}}=\color{#00880A}{a}^{m-n}$$Using the Product of Powers, bring similar bases together.Remember that any base without a power means to the power of `1`.`(3 xx y xx y xx y xx z xx z xxz)/(y xx y)` `=` $$\frac{3 \times \color{#00880A}{y}^1 \times \color{#00880A}{y}^1 \times \color{#00880A}{y}^1 \times \color{#9a00c7}{z}^1 \times \color{#9a00c7}{z}^1 \times \color{#9a00c7}{z}^1}{\color{#00880A}{y}^1 \times \color{#00880A}{y}^1}$$ `=` $$\frac{3 \times \color{#00880A}{y}^{1+1+1} \times \color{#9a00c7}{z}^{1+1+1}}{\color{#00880A}{y}^{1+1}}$$ `=` $$\frac{3 \times \color{#00880A}{y}^3 \times \color{#9a00c7}{z}^3}{\color{#00880A}{y}^2}$$ Simplify further using the Quotient of Powers.$$\frac{3 \times \color{#00880A}{y}^3 \times \color{#9a00c7}{z}^3}{\color{#00880A}{y}^2}$$ `=` $$3\color{#00880A}{y}^{3-2} \times \color{#9a00c7}{z}^3$$ `=` `3yz^3` A power of `1` does not need to be written `3yz^3` -
Question 5 of 5
5. Question
Simplify`(5a xx 2a xx a xx a xx a)/(a^2)`Hint
Help VideoCorrect
Excellent!
Incorrect
Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$Quotient of Powers
$${\color{#00880A}{a}^m}\div{\color{#00880A}{a}^n}=\frac{{\color{#00880A}{a}^m}}{{\color{#00880A}{a}^n}}=\color{#00880A}{a}^{m-n}$$Using the Product of Powers, bring similar bases together.Remember that any base without a power means to the power of `1`.`(5a xx 2a xx a xx a xx a)/(a^2)` `=` $$\frac{5 \times 2 \times \color{#00880A}{a}^1 \times \color{#00880A}{a}^1 \times \color{#00880A}{a}^1 \times \color{#00880A}{a}^1 \times \color{#00880A}{a}^1}{a^2}$$ `=` $$\frac{10 \times \color{#00880A}{a}^{1+1+1+1+1}}{a^2}$$ `=` $$\frac{10 \times \color{#00880A}{a}^5}{a^2}$$ Simplify further using the Quotient of Powers.$$\frac{10 \times \color{#00880A}{a}^5}{a^2}$$ `=` $$10\color{#00880A}{a}^{5-2}$$ `=` `10a^3` `10a^3`
Quizzes
- Exponent Notation 1
- Exponent Notation 2
- Exponent Notation 3
- Multiply Exponents (Product Rule) 1
- Multiply Exponents (Product Rule) 2
- Multiply Exponents (Product Rule) 3
- Multiply Exponents (Product Rule) 4
- Divide Exponents (Quotient Rule) 1
- Divide Exponents (Quotient Rule) 2
- Powers of a Power 1
- Powers of a Power 2
- Powers of a Power 3
- Powers of a Power 4
- Zero Powers 1
- Zero Powers 2
- Negative Exponents 1
- Negative Exponents 2
- Negative Exponents 3