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# Simplify Expressions With Power Rule And Product Rule Quiz

8 questions

### #1 of 8:Mild

Simplify expressions with power rule and product rule

### #2 of 8:Mild

Simplify expressions with power rule and product rule

<p>Simplify:</p><p>`(1^2)^2 * 1^8`<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 power rule and product rule

<p>Simplify:</p><p>`3^4 * (3^0)^-3` <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 power rule and product rule

<p>Simplify:</p><p>`t^6 * (t^-3)^-2` <br><highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight></p>

### #5 of 8:Medium

Simplify expressions with power rule and product rule

### #6 of 8:Medium

Simplify expressions with power rule and product rule

### #7 of 8:Spicy

Simplify expressions with power rule and product rule

### #8 of 8:Spicy

Simplify expressions with power rule and product rule

<p>Simplify:</p><p>`(3^-15)^-3* 3^-48` <br><highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction. </highlight></p>

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The power rule is used only when any algebraic expression with power needs to be differentiated. Similarly, the product rule is a type of differentiation rule used to differentiate a function given in the form of product of two differentiable functions. In differentiation, product rule follows the concept of limits and derivatives easily. We can easily simplify expressions with power rules and product rules.

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### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
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 Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”