Simplify Expressions With Power Rule And Product Rule Quiz

8 questions
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#1 of 8: Mild

Simplify expressions with power rule and product rule

<p>Simplify:</p><p>`x^3(x^2)^5`<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 product rule

<p>Simplify:</p><p>`(1^2)^2 * 1^8`<br><highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction. </highlight></p>

#3 of 8: Medium

Simplify expressions with power rule and product 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 product rule

<p>Simplify:</p><p>`t^6 * (t^-3)^-2` <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 product rule

<p>Simplify:</p><p>`(x^9)^-3x` <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 product rule

<p>Simplify:</p><p>`(p^-10p^-6)^-1` <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 product rule

<p>Simplify:</p><p>`(x^-15)^-3x` <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 product rule

<p>Simplify:</p><p>`(3^-15)^-3* 3^-48` <br><highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction. </highlight></p>

The power rule is used only when any algebraic expression with power needs to be differentiated. Similarly, the product rule is a type of differentiation rule used to differentiate a function given in the form of product of two differentiable functions. In differentiation, product rule follows the concept of limits and derivatives easily. We can easily simplify expressions with power rules and product rules. 


 

Teachers can provide students with these amazing ‘simplify expressions with power rule and product rule’ quizzes for practice.

You can also try our Simplify Expressions With Power Rule And Product Rule Worksheets and Simplify Expressions With Power Rule And Product Rule Problems as well for a better understanding of the concepts.

The power rule is used only when any algebraic expression with power needs to be differentiated. Similarly, the product rule is a type of differentiation rule used to differentiate a function given in the form of product of two differentiable functions. In differentiation, product rule follows the concept of limits and derivatives easily. We can easily simplify expressions with power rules and product rules. 


 

Teachers can provide students with these amazing ‘simplify expressions with power rule and product rule’ quizzes for practice.

You can also try our Simplify Expressions With Power Rule And Product Rule Worksheets and Simplify Expressions With Power Rule And Product Rule Problems as well for a better understanding of the concepts.

The power rule is used only when any algebraic expression with power needs to be differentiated. Similarly, the product rule is a type of differentiation rule used to differentiate a function given in the form of product of two differentiable functions. In differentiation, product rule follows the concept of limits and derivatives easily. We can easily simplify expressions with power rules and product rules. 


 

Teachers can provide students with these amazing ‘simplify expression...

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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.”