Lesson
Monomials (Product, Quotient, and Power)
31 minutes ago by
jjrcs72
Save
Edit
Instructor-led session
Live lessonStart a live lesson
Asynchronous learning
AssignAssign homework
19 slides PreviewShow answers
  • Slide 1
    Report an issue

    Monomials

    Product of Powers

    Quotient of Powers

    Power of Power

  • Slide 2
    Report an issue

    Product of Powers

     34  36 = 34+6 = 3103^{4\ }\cdot\ 3^6\ =\ 3^{4+6}\ =\ 3^{10}  


    If the bases are the same then we keep the base and add the exponents

  • Slide 3
    Report an issue

    Quotient of Powers

     3634=364= 32\frac{3^6}{3^4}=3^{6-4}=\ 3^2  



    If the bases are the same then we keep the base and subtract the exponents.

  • Slide 4
    Report an issue

    Power of Powers

     (34)6 = 346 = 324\left(3^4\right)^{6\ }=\ 3^{4\cdot6}\ =\ 3^{24}  

    When an exponent is raised to another exponent, multiply the exponents and keep the base.


    When exponents (powers) are side-by-side, multiply the exponents and keep the base.

  • Question 5
    60 seconds
    Report an issue
    Q.

    In Product of Powers property what do you do to the exponents?

    answer choices

    add

    subtract

    multiply

    divide

  • Question 6
    60 seconds
    Report an issue
    Q.

    In Power of Powers property what do you do to the exponents?

    answer choices

    add

    subtract

    multiply

    divide

  • Question 7
    60 seconds
    Report an issue
    Q.

    In Quotient of Powers property what do you do to the exponents?

    answer choices

    add

    subtract

    multiply

    divide

  • Question 8
    60 seconds
    Report an issue
    Q.

    Which property rule does this expression follow?

     52  585^2\ \cdot\ 5^8 

    answer choices

    Product of Powers 

    Power of Powers

    Quotient of Powers

  • Question 9
    60 seconds
    Report an issue
    Q.

    Which property rule does this expression follow?



     16a7b214a5b\frac{16a^7b^2}{14a^5b}  

    answer choices

    Product of Powers

    Quotient of Powers

    Power of Powers

  • Question 10
    60 seconds
    Report an issue
    Q.

    Which property rule does this expression follow? 

     (75)2\left(7^5\right)^2  

    answer choices

    Product of Powers 

    Power or Powers

    Quotient of Powers

  • Question 11
    60 seconds
    Report an issue
    Q.

    Simplify the expression


     87828^7\cdot8^2  

    answer choices

     8148^{14}  

     898^9  

     858^5  

  • Question 12
    60 seconds
    Report an issue
    Q.

    Simplify the expression

     (122)4\left(12^2\right)^4  

    answer choices

     12612^6  

     12812^8  

     12212^2  

  • Question 13
    60 seconds
    Report an issue
    Q.

    Simplify the expression

     124121512^4\cdot12^{15}  

    answer choices

     121912^{19}  

     126012^{60}  

     121112^{11}  

  • Question 14
    60 seconds
    Report an issue
    Q.

    Simplify the expression

     (525)4\left(52^5\right)^4  

    answer choices

     52952^9  

     522052^{20}  

     521 or 5252^1\ or\ 52  

  • Question 15
    30 seconds
    Report an issue
    Q.

     (96)5\left(9^6\right)^5  

    Simplify the expression

    answer choices

     9309^{30}  

     9119^{11}  

     919^1  

     9129^{12}  

  • Question 16
    30 seconds
    Report an issue
    Q. True or False: 
    answer choices
    True 
    False
  • Question 17
    30 seconds
    Report an issue
    Q.

    In this problem, how should you simplify the expression?

    answer choices

    You cannot simplify

    You add the exponents

    You subtract the exponents

    You multiply the exponents

  • Question 18
    30 seconds
    Report an issue
    Q.

    Simplify the expression

     (7.55)20\left(7.5^5\right)^{20}  

    answer choices

     (7.5)25\left(7.5\right)^{25}  

     (7.5)15\left(7.5\right)^{15}  

     (7.5)4\left(7.5\right)^4  

     (7.5)100\left(7.5\right)^{100}  

  • Question 19
    30 seconds
    Report an issue
    Q.

    Simplify this expression 1314138\frac{13^{14}}{13^8}  

    answer choices

     1311213^{112}  

     13613^6  

     132213^{22}  

     131.7513^{1.75}  

Report an issue
Why show ads?
Report Ad
Lessonsnew
Enter Code