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Intro To Power To Power Rule Worksheet

Power to Power rule is an exponent rule that helps in simplifying any exponent expression with a base having some power, and this whole exponent expression is further applied with another power. These basic exponents worksheets pdf comprise the most extensive range of problems based on power to power rule to enhance students' knowledge. 

Grade 8
Exponents
8.EE.A.1
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Teaching Intro to Power to Power rule easily

 

Power to Power rule of exponents states that if an exponent expression with a base having some power and this whole exponent expression is further applied with another power can be written as the same base raised to the product of those powers. 

As per the power to power rule, if (px) is further raised with power y, i.e., (px)y, then it can be written as (p)x*y or (p)XY.

For Example, solve (p2)5.

Solution: (p2)5 = (p)2 * 5 = (p)10.


 

Q. Solve [(a + b)5]7 using the power-to-power rule of the exponent. 

Solution: (a + b)5×7 = (a + b)35


 

Negative exponents’ power-to-power rule:

As per this rule, a power-to-power exponent expression having any one or both negative powers will be expressed as follows. 

  • (p-m)-n = p-m×-n = pmn
  • (p-m)n = p-m×n = p-mn
  • (pm)-n = pm×-n = p-mn

For example, simplify the exponent (q-5)9 using the power to power rule. 

Solution: (q-5)9 = q-5×9 = q-45


 

Why Should You Use an Intro to Power to Power rule worksheet for your students?

With these exponents worksheets PDF with answers, your students will smoothly learn to use the Power to Power rule of exponents. 

Also, these worksheets help them solve exponent problems having exponent expressions with more than one power. 


 

Download this class 8 intro to Power to Power rule Worksheet PDF for your students.

Teaching Intro to Power to Power rule easily

 

Power to Power rule of exponents states that if an exponent expression with a base having some power and this whole exponent expression is further applied with another power can be written as the same base raised to the product of those powers. 

As per the power to power rule, if (px) is further raised with power y, i.e., (px)y, then it can be written as (p)x*y or (p)XY.

For Example, solve (p2)5.

Solution: (p2)5 = (p)2 * 5 = (p)10.


 

Q. Solve [(a + b)5]7 using the power-to-power rule of the exponent. 

Solution: (a + b)5×7 = (a + b)35


 

Negative exponents’ power-to-power rule:

As per this rule, a power-to-power exponent expression having any one or both negative powers will be expressed as follows. 

  • (p-m)-n = p-m×-n = pmn
  • (p-m)n = p-m×n = p-mn
  • (pm)-n = pm×-n = p-mn

For example, simplify the exponent (q-5)9 using the power to power rule. 

Solution: (q-5)9 = q-5×9 = q-45


 

Why Should You Use an Intro to Power to Power rule worksheet for your students?

With these exponents worksheets PDF with answers, your students will smoothly learn to use the Power to Power rule of exponents. 

Also, these worksheets help them solve exponent problems having exponent expressions with more than one power. 


 

Download this class 8 intro to Power to Power rule Worksheet PDF for your students.

Teaching Intro to Power to Power rule easily

 

Power to Power rule of exponents states that if an exponent expression with a base having some power and this whole exponent expression is further applied with another power can be written as the same base raised to the product of those powers. 

As per the power to power rule, if (px) is further raised with power y, i.e., (px)y, then it can be written as (p)x*y or (p)XY.

For Example, solve (p2)5.

Solution: (p2)5 = (p)2 * 5 = (p)10.


 

Q. Solve [(a + b)5]7 using the power-to-power rule of the exponent. 

Solution: (a + b)5×7 = (a + b)35


 

Negative exponents’ power-to-power rule:

As per this rule, a power-to-power exponent expression h...

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