Product Rule And Quotient Rule (Multiple Bases) Problems

8 questions
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#1 of 8: Mild

Product rule and quotient rule (multiple bases)

<p>Simplify:</p><p>`(4^3 a^3)/(4^-4 a^5)`</p><i><p style="color:#666">Write your answer as a simplified expression.</i> </p>

#2 of 8: Medium

Product rule and quotient rule (multiple bases)

<p>Simplify:</p><p>`(5^4b^-3)/(5^-2b^-2b^5)`</p><i><p style="color:#666">Write your answer as a simplified expression.</i> </p>

#3 of 8: Medium

Product rule and quotient rule (multiple bases)

<p>Simplify:</p><p>`(3^0 * 3^-5 x^2)/(x^-3 * 3^3)`</p><i><p style="color:#666">Write your answer as a simplified expression.</i> </p>

#4 of 8: Medium

Product rule and quotient rule (multiple bases)

<p>Simplify:</p><p>`(g^0 h^-2 g^3)/(g^-4 h^8)`</p><i><p style="color:#666">Write your answer as a simplified expression using only positive exponents.</i> </p>

#5 of 8: Medium

Product rule and quotient rule (multiple bases)

<p>Simplify:</p><p>`(x^2y^4)/(y^5y^2 x^7)`</p><i><p style="color:#666">Write your answer as a simplified expression using only positive exponents.</i> </p>

#6 of 8: Spicy

Product rule and quotient rule (multiple bases)

<p>Simplify:</p><p>`(4x^-2*3x^-8)/(24x^3)`</p><i><p style="color:#666">Write your answer as a simplified expression using only positive exponents.</i> </p>

#7 of 8: Spicy

Product rule and quotient rule (multiple bases)

<p>Simplify:</p><p>`(66x)/(3x^-2*2x^4)`</p><i><p style="color:#666">Write your answer as a simplified expression using only positive exponents.</i> </p>

#8 of 8: Spicy

Product rule and quotient rule (multiple bases)

<p>Simplify:</p><p>`(90x^6)/(2x^7*5x^8)`</p><i><p style="color:#666">Write your answer as a simplified expression using only positive exponents.</i> </p>

Product rule and Quotient rule (multiple bases) problems have questions based on two different rules for finding the derivatives of a given function. The first one-quotient rule is used to determine the differentiation of two numbers in the form of a ratio. It also helps to find the derivative of a given function if the function is in the form of two differentiable functions. Both the rules follow the concept of derivatives and limits. 

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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.”