In calculus, product rule is a way of finding the derivative of any given function in the form of two differentiable functions. It is also known as the “Liebniz rule”. We can apply the product rule to find the derivative in the form of f ( x ) . g ( x ) where both f ( x ) and g ( x ) are differentiable. The product rule follows the ...
Customize your worksheet through AI
Unlock Efficiency and Precision with Automated Worksheet Customization
Simplify Expressions With Product Rule Quiz
8 questions
#1 of 8: Mild
Simplify expressions with product rule
<p>Simplify:</p><p>`z^15 * z^-10` <br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight> </p>
#2 of 8: Mild
Simplify expressions with product rule
<p>Simplify:</p><p>`2^-3 * 2^9` <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>`5^4 * 5^-4`<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 product rule
<p>Simplify:</p><p>`(y^0)(y^12)`<br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight> </p>
#5 of 8: Medium
Simplify expressions with product rule
<p>Simplify:</p><p>`(3^12)(3^-16)` <br><highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction.</highlight> </p>
#6 of 8: Medium
Simplify expressions with product rule
<p>Simplify:</p><p>`8^-15 * 8^13` <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> `9^-2 * 9^-4 * 9^4` <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> `(q^8)(q^-10)(q^-6)` <br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight> </p>
We’ve enabled step-by-step help for this quiz
With bytelearn’s quizzes, your students receive targeted step-by-step help if they’re stuck or have questions, and you receive clear insights into their knowledge gaps.
See how it worksShow all
Grade 8
Exponents
8.EE.A.1
What teachers are saying about BytelearnWhat teachers are saying
Stephen Abate
19-year math teacher
Carmel, CA
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”
What teachers are saying about BytelearnWhat teachers are saying
Stephen Abate
19-year math teacher
Carmel, CA
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”