OML Search

Numbers in Exponential Form Raised to a Power

Related Topics:
Lesson Plans and Worksheets for Grade 8
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 8
Common Core For Grade 8



Examples, videos, and solutions to help Grade 8 students learn how to take powers of powers.

New York State Common Core Math Grade 8, Module 1, Lesson 3


Worksheets for Grade 8

Lesson 3 Student Outcomes


• Students will know how to take powers of powers. Students will know that when a product is raised to a power, each factor of the product is raised to that power.
• Students will write simplified, equivalent numeric and symbolic expressions using this new knowledge of powers.

Classwork

For any number x and any positive integers m and n,
(xm)n = xmn
Exercise 1: (153)9
Exercise 2: ((-2)5)8
Exercise 3: (3.417)4
Exercise 4:
Let s be a number. (s17)4
Exercise 5:
Sarah wrote that (35)7 = 312. Correct her mistake. Write an exponential expression using a base of 3 and exponents of 5, 7, and 12 that would make her answer correct.
Exercise 6:
A number y satisfies y24 - 256 = 0. What equation does the number x = y4 satisfy?
For any number x and any positive integers m and n,
(xy)n = xnyn
Exercise 7: (11 x 4)9
Exercise 8: (32 x 74)5
Exercise 9:
Let a, b, and c be numbers.
(32a4)5
Exercise 10
Let x be a number.
(5x)7
Exercise 11
Let x and y be numbers.
(5xy2)7
Exercise 12
Let a, b, and c be numbers.
(a2bc3)4




Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.