Divide Exponents (Quotient Rule) 1

Quiz summary

0 of 4 questions completed

Questions:

–

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:

Lets see your results!

Points

Score

Time

Retry Quiz

Question 1 of 4

1. Question
Simplify

$x^{8} \div x^{2}$ $x^8 -: x^2$
- 1. $x^{5}$ $x^5$
- 2. $x^{10}$ $x^10$
- 3. $x^{3}$ $x^3$
- 4. $x^{6}$ $x^6$
Hint

Help Video
Correct

Excellent!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

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.

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

$=$ $=$ $x^{6}$ $x^6$

$x^{6}$ $x^6$
Question 2 of 4

2. Question
Simplify

$\frac{6^{10}}{6^{3}}$ $(6^10)/(6^3)$
- 1. $6^{3}$ $6^3$
- 2. $6^{7}$ $6^7$
- 3. $6^{13}$ $6^(13)$
- 4. $6^{30}$ $6^(30)$
Hint

Help Video
Correct

Great Work!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

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.

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

$=$ $=$ $6^{7}$ $6^7$

$6^{7}$ $6^7$
Question 3 of 4

3. Question
Simplify

$\frac{{(- 4)}^{5}}{{(- 4)}^{2}}$ $((-4)^5)/((-4)^2)$
- 1. ${(- 4)}^{7}$ $(-4)^7$
- 2. $4^{3}$ $4^3$
- 3. $4^{7}$ $4^7$
- 4. ${(- 4)}^{3}$ $(-4)^3$
Hint

Help Video
Correct

Correct!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

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

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

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.

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

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

$3^5$

Divide Exponents (Quotient Rule) 1

Try VividMath Premium to unlock full access

Quiz summary

Information

1. Question

Hint

Excellent!

Quotient of Powers

2. Question

Hint

Great Work!

Quotient of Powers

3. Question

Hint

Correct!

Quotient of Powers

4. Question

Hint

Keep Going!

Product of Powers

Quotient of Powers

Quizzes

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

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

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