Simplify Expressions With Power Rule And Product Rule Problems

5 questions
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#1 of 5: Medium

Simplify expressions with power rule and product rule

<p>Simplify:</p><p>`(q^5q^-6)^-8` <br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight></p>

#2 of 5: Mild

Simplify expressions with power rule and product rule

<p>Simplify:</p><p>`(h^2h^3)^7` <br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight></p>

#3 of 5: 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>

#4 of 5: 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>

#5 of 5: Medium

Simplify expressions with power rule and product rule

<p>Simplify:</p><p>`(u^-8)^4u` <br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</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 the product of two differentiable functions. In differentiation, product rule follows the concept of limits and derivatives. We can use power rules and product rules to simplify expressions. 

You can also try our Simplify Expressions With Power Rule And Product Rule Worksheets and

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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.”