Divide Indices 1

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Question 1 of 4

1. Question
Simplify

$x^8 -: x^2$
- 1. $x^6$
- 2. $x^3$
- 3. $x^10$
- 4. $x^5$
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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 Quotient of Powers, bring similar bases together.

$\color{#00880A}{x}^8 \div \color{#00880A}{x}^2$ $=$ $\color{#00880A}{x}^{8-2}$

$=$ $x^6$

$x^6$
Question 2 of 4

2. Question
Simplify

$(6^10)/(6^3)$
- 1. $6^(30)$
- 2. $6^(13)$
- 3. $6^7$
- 4. $6^3$
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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 Quotient of Powers, bring similar bases together.

$\frac{{\color{#00880A}{6}^{10}}}{{\color{#00880A}{6}^3}}$ $=$ $\color{#00880A}{6}^{10-3}$

$=$ $6^7$

$6^7$
Question 3 of 4

3. Question
Simplify

$((-4)^5)/((-4)^2)$
- 1. $(-4)^3$
- 2. $(-4)^7$
- 3. $4^7$
- 4. $4^3$
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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 Quotient of Powers, bring similar bases together.

$\frac{{(\color{#00880A}{-4})^5}}{{(\color{#00880A}{-4})^2}}$ $=$ $(\color{#00880A}{-4})^{5-2}$

$=$ $(-4)^3$

$(-4)^3$

Question 4 of 4

Simplify

$(3^4 xx 3^8)/(3^7)$

1. $3^5$
2. $3^(19)$
3. $1^8$
4. $1/(3^3)$

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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.

		$(3^4 xx 3^8)/(3^7)$

	$=$	$\frac{\color{#00880A}{3}^4 \times \color{#00880A}{3}^8}{3^7}$

	$=$	$\frac{\color{#00880A}{3}^{4+8}}{3^7}$

	$=$	$\frac{\color{#00880A}{3}^{12}}{3^7}$

Simplify further using the Quotient of Powers.

		$\frac{\color{#00880A}{3}^{12}}{\color{#00880A}{3}^7}$

	$=$	$\color{#00880A}{3}^{12-7}$
	$=$	$3^5$

$3^5$

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Quiz summary

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1. Question

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Quotient of Powers

2. Question

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Quotient of Powers

3. Question

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Quotient of Powers

4. Question

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Product of Powers

Quotient of Powers

Quizzes

$\color{#00880A}{x}^8 \div \color{#00880A}{x}^2$	$=$	$\color{#00880A}{x}^{8-2}$
	$=$	$x^6$

$\frac{{\color{#00880A}{6}^{10}}}{{\color{#00880A}{6}^3}}$	$=$	$\color{#00880A}{6}^{10-3}$
	$=$	$6^7$

$\frac{{(\color{#00880A}{-4})^5}}{{(\color{#00880A}{-4})^2}}$	$=$	$(\color{#00880A}{-4})^{5-2}$
	$=$	$(-4)^3$