Simplify Expressions With Power Rule And Product Rule Quiz

8 questions

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#1 of 8: Mild

Simplify expressions with power rule and product rule

Simplify:`x^3(x^2)^5` <highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight>

#2 of 8: Mild

Simplify expressions with power rule and product rule

Simplify:`(1^2)^2 * 1^8` <highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction. </highlight>

#3 of 8: Medium

Simplify expressions with power rule and product rule

Simplify:`3^4 * (3^0)^-3` <highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction. </highlight>

#4 of 8: Medium

Simplify expressions with power rule and product rule

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

#5 of 8: Medium

Simplify expressions with power rule and product rule

Simplify:`(x^9)^-3x` <highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight>

#6 of 8: Medium

Simplify expressions with power rule and product rule

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

#7 of 8: Spicy

Simplify expressions with power rule and product rule

Simplify:`(x^-15)^-3x` <highlight data-color="#666" data-style="italic">Write your answer using only positive exponents.</highlight>

#8 of 8: Spicy

Simplify expressions with power rule and product rule

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

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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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Grade 8

Exponents

8.EE.A.1