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Multiply Exponents (Product Rule)>
Multiply Exponents (Product Rule) 1Multiply Exponents (Product Rule) 1
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Question 1 of 5
1. Question
Simplify`5^3 xx 5^8`Hint
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Good job!
Incorrect
Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$Use the Product of Powers to simplify.Bring similar bases together and add the powers.$$\color{#00880A}{5}^3 \times \color{#00880A}{5}^8$$ `=` $$\color{#00880A}{5}^{3+8}$$ `=` `5^11` `5^11` -
Question 2 of 5
2. Question
Simplify`p^2 xx p^3`Hint
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Fantastic!
Incorrect
Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$Use the Product of Powers to simplify.Bring similar bases together and add the powers.$$\color{#00880A}{p}^2 \times \color{#00880A}{p}^3$$ `=` $$\color{#00880A}{p}^{2+3}$$ `=` `p^5` `p^5` -
Question 3 of 5
3. Question
Simplify`2^4 xx 2^5`Hint
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Correct!
Incorrect
Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$Use the Product of Powers to simplify.Bring similar bases together and add the powers.$$\color{#00880A}{2}^4 \times \color{#00880A}{2}^5$$ `=` $$\color{#00880A}{2}^{4+5}$$ `=` `2^9` `2^9` -
Question 4 of 5
4. Question
Simplify`x^5 xx x^(-3)`Hint
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Well Done!
Incorrect
Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$Use the Product of Powers to simplify.Bring similar bases together and add the powers.$$\color{#00880A}{x}^5 \times \color{#00880A}{x}^{-3}$$ `=` $$\color{#00880A}{x}^{5+(-3)}$$ `=` `x^(5-3)` `5+(-3)=5-3` `=` `x^2` `x^2` -
Question 5 of 5
5. Question
Simplify`(-3) xx (-3)^4`Hint
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Excellent!
Incorrect
Product of Powers
$${\color{#00880A}{a}^m}\times{\color{#00880A}{a}^n}=\color{#00880A}{a}^{m+n}$$Use the Product of Powers to simplify.Bring similar bases together and add the powers.$$(\color{#00880A}{-3})^1 \times (\color{#00880A}{-3})^4$$ `=` $$(\color{#00880A}{-3})^{1+4}$$ `=` `(-3)^5` `(-3)^5`
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