Topics
>
Algebra 1>
Exponents>
Multiply Exponents (Product Rule)>
Multiply Exponents (Product Rule) 3Multiply Exponents (Product Rule) 3
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 4 questions completed
Questions:
- 1
- 2
- 3
- 4
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
- Answered
- Review
-
Question 1 of 4
1. Question
Simplify`3y^2 xx 4y^5`Hint
Help VideoCorrect
Correct!
Incorrect
Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$First, bring the same bases together.`3y^2 xx 4y^5` `=` `3 xx 4 xx y^2 xx y^5` Using the Product of Powers, bring similar bases together.$$\color{#00880A}{3}^1 \times \color{#00880A}{4}^1 \times \color{#9a00c7}{y}^2 \times \color{#9a00c7}{y}^5$$ `=` $$\color{#00880A}{12} \times \color{#9a00c7}{y}^{2+5}$$ `=` `12y^7` `12y^7` -
Question 2 of 4
2. Question
Simplify`6m^7 xx 5m^3`Hint
Help VideoCorrect
Nice Job!
Incorrect
Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$First, bring the same bases together.`6m^7 xx 5m^3` `=` `6 xx 5 xx m^7 xx m^3` Using the Product of Powers, bring similar bases together.$$\color{#00880A}{6}^1 \times \color{#00880A}{5}^1 \times \color{#9a00c7}{m}^7 \times \color{#9a00c7}{m}^3$$ `=` $$\color{#00880A}{30} \times \color{#9a00c7}{m}^{7+3}$$ `=` `30m^(10)` `30m^(10)` -
Question 3 of 4
3. Question
Simplify`6m^2 n xx 3m^4 n^2`Hint
Help VideoCorrect
Keep Going!
Incorrect
Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$First, bring the same bases together.`6m^2 n xx 3m^4 n^2` `=` `6 xx 3 xx m^2 xx m^4 xx n xx n^2` Using the Product of Powers, bring similar bases together.$$\color{#00880A}{6}^1 \times \color{#00880A}{3}^1 \times \color{#9a00c7}{m}^2 \times \color{#9a00c7}{m}^4 \times \color{#e65021}{n}^1 \times \color{#e65021}{n}^2$$ `=` $$\color{#00880A}{18} \times \color{#9a00c7}{m}^{2+4} \times \color{#e65021}{n}^{1+2}$$ `=` `18m^6 n^3` `18m^6 n^3` -
Question 4 of 4
4. Question
Simplify`7ab^3 xx 2a^3 b`Hint
Help VideoCorrect
Excellent!
Incorrect
Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$First, bring the same bases together.`7ab^3 n xx 2a^3 b` `=` `7 xx 2 xx a xx a^3 xx b^3 xx b` Using the Product of Powers, bring similar bases together.$$\color{#00880A}{7}^1 \times \color{#00880A}{2}^1 \times \color{#9a00c7}{a}^1 \times \color{#9a00c7}{a}^3 \times \color{#e65021}{b}^3 \times \color{#e65021}{b}^1$$ `=` $$\color{#00880A}{14} \times \color{#9a00c7}{a}^{1+3} \times \color{#e65021}{b}^{3+1}$$ `=` `14a^4 b^4` `14a^4 b^4`
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
- Rational Exponents 1
- Rational Exponents 2
- Rational Exponents 3
- Mixed Operations with Exponents 1
- Mixed Operations with Exponents 2