Simplify Expressions With Power Rule And Quotient Rule Problems

5 questions
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#1 of 5: Mild

Simplify expressions with power rule and quotient rule

<p>Simplify:</p><p>`x^12/(x^2)^5`<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 quotient rule

<p>Simplify:</p><p>`(3^3)^4 / 3^9` <br><highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction.</highlight></p>

#3 of 5: Mild

Simplify expressions with power rule and quotient rule

<p>Simplify:</p><p>`k^15/(k^5)^2` <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 quotient rule

<p>Simplify:</p><p>`(p^-10/p^-6)^-1` <br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight></p>

#5 of 5: Medium

Simplify expressions with power rule and quotient rule

<p>Simplify:</p><p>`(r^0/r^-9)^-4`<br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight></p>

Simplifying the expression by the quotient rule, one needs to subtract the exponents of the numerator from the denominator. To simplify it through the power rule one needs to just multiply the exponents of the function. These are ways to simplify the expression. Students should Simplify expressions with power rule and quotient rule problems to increase their understanding of how to use the quotient and power to power rules.


 

The teacher can share these problems to improve students’ knowledge of power and quotient rule.

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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.”