The product rule of exponents states that when the bases of two numbers or variables differ, we can multiply the expressions by applying certain simple exponent principles. The bases are multiplied first when multiplying exponents with various ba...
Product Rule (Multiple Bases) Problems
8 questions
#1 of 8: Mild
Product rule (multiple bases)
<p>Simplify:</p><p>`(a^-3 b^5)(a^5 b^-2)`</p><i><p style="color:#666">Write your answer as a simplified expression using only positive exponents.</i> </p>
#2 of 8: Medium
Product rule (multiple bases)
<p>Simplify:</p><p>`(u^6 v^-8)(u^-9 v^4)`</p><i><p style="color:#666">Write your answer as a simplified expression.</i> </p>
#3 of 8: Medium
Product rule (multiple bases)
<p>Simplify:</p><p>`(3^-5 y^4)(3^2 y^-2)`</p><i><p style="color:#666">Write your answer as a simplified expression.</i> </p>
#4 of 8: Medium
Product rule (multiple bases)
<p>Simplify:</p><p>`(x^-8 y^5)(x^6 y^-5)`</p><i><p style="color:#666">Write your answer as a simplified expression.</i> </p>
#5 of 8: Spicy
Product rule (multiple bases)
<p>Simplify:</p><p>`(3^4x^-3y^8)(3^-2x^-6y^-10)`</p><i><p style="color:#666">Write your answer as a simplified expression.</i> </p>
#6 of 8: Spicy
Product rule (multiple bases)
<p>Simplify:</p><p>`(r^-4s^6t^2)(s^-2t^-7r^4)`</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 (multiple bases)
<p>Simplify:</p><p>`(p^1q^-4)(p^-3q^8r^-5)`</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 (multiple bases)
<p>Simplify:</p><p>`(f^7g^-9h^0)(f^4g^5h^-2)`</p><i><p style="color:#666">Write your answer as a simplified expression using only positive exponents.</i> </p>
Show 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.”