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Simplify Expressions With Power Rule And Quotient Rule Quiz

8 questions
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#1 of 8: Mild

Simplify expressions with power rule and quotient rule

<p>Simplify:</p><p>`k^15/(k^5)^2` <br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight></p>

#2 of 8: Mild

Simplify expressions with power rule and quotient rule

<p>Simplify:</p><p>`(d^8)^3/d^5` <br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight></p>

#3 of 8: Medium

Simplify expressions with power rule and quotient rule

<p>Simplify:</p><p>`3^4/(3^0)^-3` <br><highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction.</highlight></p>

#4 of 8: Medium

Simplify expressions with power rule and quotient rule

<p>Simplify:</p><p>`(m^0/m^-6)^-4` <br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight></p>

#5 of 8: Medium

Simplify expressions with power rule and quotient rule

<p>Simplify:</p><p>`(u^-8)^4/u` <br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight></p>

#6 of 8: Medium

Simplify expressions with power rule and quotient rule

<p>Simplify:</p><p>`(z^5/z^-5)^-8`<br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight></p>

#7 of 8: Spicy

Simplify expressions with power rule and quotient rule

<p>Simplify:</p><p>`(x^-15)^3/x^-1`<br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight></p>

#8 of 8: Spicy

Simplify expressions with power rule and quotient rule

<p>Simplify:</p><p>`(5^-15)^7/5^-102`<br><highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction.</highlight></p>

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A power rule can be defined simply as the method of differentiating algebraic expressions such as xn.  Generally, it is used when an algebraic expression(variable) with power needs to be differentiated. So to find the derivative the formula would be: d(xn )/dx = nx (n-1) . This is the general power rule derivative formula. The quotient rule is used when two functions are given and the derivative of ratio of these two functions is to be found.


 

Share this with your students for practice. Initially students may find solving the simplification expressions having power rule and quotie...

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Grade 8
Exponents
8.EE.A.1

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What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
rodolpho.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”