Simplify Expressions With Product Rule Problems

8 questions
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#1 of 8: Mild

Simplify expressions with product rule

<p>Simplify:</p><p>`4^-5 * 4^8` <br><highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction.</highlight> </p>

#2 of 8: Medium

Simplify expressions with product rule

<p>Simplify:</p><p> `2^-3 * 2^-2` <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 product rule

<p>Simplify:</p><p>`(m^-4)(m^-9)`<br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight> </p>

#4 of 8: Medium

Simplify expressions with product rule

<p>Simplify:</p><p>`5^4 * 5^-4`<br><highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction.</highlight></p>

#5 of 8: Medium

Simplify expressions with product rule

<p>Simplify:</p><p>`(4^-6)(4^6)`<br><highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction.</highlight></p>

#6 of 8: Spicy

Simplify expressions with product rule

<p>Simplify:</p><p> `(8^-3)(8^-4)(8^5)` <br><highlight data-color="#666" data-style="italic"> Write your answer as an integer or simplified fraction.</highlight> </p>

#7 of 8: Spicy

Simplify expressions with product rule

<p>Simplify:</p><p> `10^2 * 10^0 * 10^-5` <br><highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction.</highlight> </p>

#8 of 8: Spicy

Simplify expressions with product rule

<p>Simplify:</p><p> `k^-2 * k^-12 * k^-5` <br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight> </p>

In mathematics, there are various types of differentiation rules. Product rule is one of them. Product rule helps us to find the derivative of a function.  It follows the concepts of derivatives and limits directly. Quotient rule is the opposite of product r...

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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.”