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Exponents and Their Properties

Exponents and Their Properties

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
8.EE.A.1, 6.EE.A.1

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.8.EE.A.1
,
CCSS.6.EE.A.1
This video tutorial explains how to simplify expressions using the power of a product rule and the power rule of exponents. It provides multiple examples, demonstrating how to apply these rules to expressions with different bases, including negative bases and negative exponents. The tutorial emphasizes the importance of multiplying exponents when dealing with powers raised to powers and concludes with a simplified expression for each example.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the power of a product rule of exponents?

(a^m)^n = a^(m*n)

a^m / a^n = a^(m-n)

(a * b)^n = a^n * b^n

a^m * a^n = a^(m+n)

Tags

CCSS.8.EE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the power rule of exponents?

(a * b)^n = a^n * b^n

a^m * a^n = a^(m+n)

a^m / a^n = a^(m-n)

(a^m)^n = a^(m*n)

Tags

CCSS.8.EE.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying exponents in (a^m)^n?

a^(m*n)

a^(m+n)

a^(m-n)

a^(m/n)

Tags

CCSS.8.EE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you simplify (xy^3)^2 using the power of a product rule?

x^3y^2

x^2y^3

x^2y^6

x^6y^2

Tags

CCSS.8.EE.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of applying the power rule to (3^a z)^6?

3^(a+6) z^6

3^a z^6

3^(6a) z^6

3^(a*6) z^6

Tags

CCSS.8.EE.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of (3^a z)^6?

3^(a*6) z^6

3^a z^6

3^(a+6) z^6

3^(6a) z^6

Tags

CCSS.6.EE.A.1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When simplifying (-4b^5)^2, what is the result of squaring -4?

-8

-16

8

16

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