Powers of Products and Quotients

Powers of Products and Quotients

Assessment

Quiz

Created by

Andrew Pogg

Mathematics

8th - 11th Grade

90 plays

Medium

CCSS
HSA.SSE.B.3, HSA.APR.D.7, HSN.RN.A.2

+3

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following is the correct way to simplify this expression?
 (ambn)p\left(a^mb^n\right)^p  

 abmnpab^{m\cdot n\cdot p}  

 amp bnpa^{m\cdot p}\ b^{n\cdot p}  

 ambna^mb^n  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What's our "shortcut" for thinking of this property?
 (ambn)p = amp bnp\left(a^mb^n\right)^p\ =\ a^{mp}\ b^{np}  

It's like "distributing" the power

We add the powers together

We divide the powers

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the following:
 (r7s3)3\left(r^7s^3\right)^3  

 r7s9r^7s^9  

 r21s9r^{21}s^9  

 r21s3r^{21}s^3  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the following:
 (abc5)5\left(abc^5\right)^5 

 a5b5c25a^5b^5c^{25} 

 a5b5c5a^5b^5c^5 

 abc25abc^{25} 

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the following:
(4x3y2)2\left(4x^3y^2\right)^2

16x3y216x^3y^2

4x6y44x^6y^4

16x6y416x^6y^4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the following:
 (x2y4m3)8\left(x^2y^4m^3\right)^8  

 x10y12m11x^{10}y^{12}m^{11}  

 x6y4m5x^6y^{-4}m^{-5}  

 x16y32m24x^{16}y^{32}m^{24}  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the correct way to simplify this expression?
 (ambn)p\left(\frac{a^m}{b^n}\right)^p  

 ampbnp\frac{a^{m\cdot p}}{b^{n\cdot p}}  

 am+apbn+bp\frac{a^m+a^p}{b^n+b^p}  

 amp bnpa^{m\cdot p}\ b^{n\cdot p}  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

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