Cat LogoBrand logo
Resources
Testimonials
HOMEWORK / CLASSWORK

Simplify Expressions With Power To Power Rule Worksheet

Power rule also known as Power Law is a property of exponents that is expressed using the general formula: ( ax ) y  = a x.y . This formula basically states that, for any kind of value to an exponent, that is then all raised to an exponent, you can easily combine them into one by just multiplying them. This is known as the Power to Power Rule or Raising a Power to Power. 

Grade 8
Exponents
8.EE.A.1
bytelearn-cat-logo.svg
bytelearn-vector-logo.png

Differentiated, free, step-by-step math help

The digital co-teacher made with ❤️ by teachers ️

Try step-by-step help for free
icon-arrow.svg

Teaching Simplify Expression With Power Rule 

 

  • To solve any expression in the form of  ( ax ) y  = a x.y , we can simply use the power rule. 
  • In this equation, we keep a as the base when x and y are multiplied. 
  • Simply, simplify the equation further to get an answer. 


 

Here is an example to solve an expression with power rule. Let’s look at the given example mentioned below to understand more about this rule. 



 

   Power Rule =  ( ax ) y  = a x.y 


 

 

 

 

Q. : Find the value of (-22)5


 

To simplify this equation, we simply multiply the powers of 2 and 5. 

So, 

( -22)5 = (-2)2×5

= (-2)10

= 210 --- [Because the power 10 is even]

= 1024


 

Why Should you use the Simplify Expression With Power Rule Worksheet for your Students? 

 

  • These worksheets will help your students to easily solve the equation in the form of:  ( ax ) y  = a x.y  using the power rule. 
  • Solving these worksheets will help your students to know about different concepts like: powers and bases and so on. 


 

Download Equations with Simplify Expression With Power to Power Rule Worksheets PDF

 

You can download and print these super fun equations with simplified expressions with power to power rule worksheet pdf from here for your students.

Teaching Simplify Expression With Power Rule 

 

  • To solve any expression in the form of  ( ax ) y  = a x.y , we can simply use the power rule. 
  • In this equation, we keep a as the base when x and y are multiplied. 
  • Simply, simplify the equation further to get an answer. 


 

Here is an example to solve an expression with power rule. Let’s look at the given example mentioned below to understand more about this rule. 



 

   Power Rule =  ( ax ) y  = a x.y 


 

 

 

 

Q. : Find the value of (-22)5


 

To simplify this equation, we simply multiply the powers of 2 and 5. 

So, 

( -22)5 = (-2)2×5

= (-2)10

= 210 --- [Because the power 10 is even]

= 1024


 

Why Should you use the Simplify Expression With Power Rule Worksheet for your Students? 

 

  • These worksheets will help your students to easily solve the equation in the form of:  ( ax ) y  = a x.y  using the power rule. 
  • Solving these worksheets will help your students to know about different concepts like: powers and bases and so on. 


 

Download Equations with Simplify Expression With Power to Power Rule Worksheets PDF

 

You can download and print these super fun equations with simplified expressions with power to power rule worksheet pdf from here for your students.

Teaching Simplify Expression With Power Rule 

 

  • To solve any expression in the form of  ( ax ) y  = a x.y , we can simply use the power rule. 
  • In this equation, we keep a as the base when x and y are multiplied. 
  • Simply, simplify the equation further to get an answer. 


 

Here is an example to solve an expression with power rule. Let’s look at the given example mentioned below to understand more about this rule. 



 

   Power Rule =  ( ax ) y  = a x.y 


 

 

 

 

Q. : Find the value of (-22)5


 

To simplify this equation, ...

Show all

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.”