Multiply Exponents (Product Rule) 1

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Question 1 of 5

1. Question
Simplify

$5^{3} \times 5^{8}$ $5^3 xx 5^8$
- 1. $5$ $5$
- 2. $5^{11}$ $5^11$
- 3. $5^{5}$ $5^5$
- 4. $5^{6}$ $5^6$
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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.

$\color{#00880A}{5}^3 \times \color{#00880A}{5}^8$ $=$ $=$ $\color{#00880A}{5}^{3+8}$

$=$ $=$ $5^{11}$ $5^11$

$5^{11}$ $5^11$
Question 2 of 5

2. Question
Simplify

$p^{2} \times p^{3}$ $p^2 xx p^3$
- 1. $2 p^{3}$ $2p^3$
- 2. $p^{5}$ $p^5$
- 3. $3 p$ $3p$
- 4. $p^{2}$ $p^2$
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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.

$\color{#00880A}{p}^2 \times \color{#00880A}{p}^3$ $=$ $=$ $\color{#00880A}{p}^{2+3}$

$=$ $=$ $p^{5}$ $p^5$

$p^{5}$ $p^5$
Question 3 of 5

3. Question
Simplify

$2^{4} \times 2^{5}$ $2^4 xx 2^5$
- 1. $2$ $2$
- 2. $\frac{2^{5}}{4}$ $(2^5)/4$
- 3. $\frac{2^{4}}{5}$ $(2^4)/5$
- 4. $2^{9}$ $2^9$
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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.

$\color{#00880A}{2}^4 \times \color{#00880A}{2}^5$ $=$ $=$ $\color{#00880A}{2}^{4+5}$

$=$ $=$ $2^{9}$ $2^9$

$2^{9}$ $2^9$
Question 4 of 5

4. Question
Simplify

$x^{5} \times x^{- 3}$ $x^5 xx x^(-3)$
- 1. $5 x^{3}$ $5x^3$
- 2. $x^{2}$ $x^2$
- 3. $x^{8}$ $x^8$
- 4. $3 x^{5}$ $3x^5$
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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.

$\color{#00880A}{x}^5 \times \color{#00880A}{x}^{-3}$ $=$ $=$ $\color{#00880A}{x}^{5+(-3)}$

$=$ $=$ $x^{5 - 3}$ $x^(5-3)$ $5 + (- 3) = 5 - 3$ $5+(-3)=5-3$

$=$ $=$ $x^{2}$ $x^2$

$x^{2}$ $x^2$
Question 5 of 5

5. Question
Simplify

$(- 3) \times {(- 3)}^{4}$ $(-3) xx (-3)^4$
- 1. $3^{- 4}$ $3^(-4)$
- 2. $3^{- 5}$ $3^(-5)$
- 3. ${(- 3)}^{5}$ $(-3)^5$
- 4. ${(- 3)}^{4}$ $(-3)^4$
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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.

$(\color{#00880A}{-3})^1 \times (\color{#00880A}{-3})^4$ $=$ $=$ $(\color{#00880A}{-3})^{1+4}$

$=$ $=$ ${(- 3)}^{5}$ $(-3)^5$

${(- 3)}^{5}$ $(-3)^5$

Multiply Exponents (Product Rule) 1

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Quiz summary

Information

1. Question

Hint

Good job!

Product of Powers

2. Question

Hint

Fantastic!

Product of Powers

3. Question

Hint

Correct!

Product of Powers

4. Question

Hint

Well Done!

Product of Powers

5. Question

Hint

Excellent!

Product of Powers

Quizzes

$\color{#00880A}{5}^3 \times \color{#00880A}{5}^8$	$=$ $=$	$\color{#00880A}{5}^{3+8}$
	$=$ $=$	$5^{11}$ $5^11$

$\color{#00880A}{p}^2 \times \color{#00880A}{p}^3$	$=$ $=$	$\color{#00880A}{p}^{2+3}$
	$=$ $=$	$p^{5}$ $p^5$

$\color{#00880A}{2}^4 \times \color{#00880A}{2}^5$	$=$ $=$	$\color{#00880A}{2}^{4+5}$
	$=$ $=$	$2^{9}$ $2^9$

$\color{#00880A}{x}^5 \times \color{#00880A}{x}^{-3}$	$=$ $=$	$\color{#00880A}{x}^{5+(-3)}$
	$=$ $=$	$x^{5 - 3}$ $x^(5-3)$	$5 + (- 3) = 5 - 3$ $5+(-3)=5-3$
	$=$ $=$	$x^{2}$ $x^2$

$(\color{#00880A}{-3})^1 \times (\color{#00880A}{-3})^4$	$=$ $=$	$(\color{#00880A}{-3})^{1+4}$
	$=$ $=$	${(- 3)}^{5}$ $(-3)^5$