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Understanding Exponents and Roots

Understanding Exponents and Roots

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Practice Problem

Hard

CCSS
HSN.RN.A.2, 8.EE.A.2

Standards-aligned

Created by

Jackson Turner

FREE Resource

Standards-aligned

CCSS.HSN.RN.A.2
,
CCSS.8.EE.A.2
The video tutorial covers the product of powers, starting with basic multiplication of like bases and moving to more complex examples involving fractional exponents. It explains how to find common denominators to simplify expressions and convert between radical and rational exponent forms. The tutorial provides step-by-step examples to illustrate these concepts, ensuring a clear understanding of exponent rules and simplification techniques.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when you multiply like bases in exponentiation?

You add the exponents.

You multiply the exponents.

You subtract the exponents.

You divide the exponents.

Tags

CCSS.HSN.RN.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you simplify 8^(1/2) * 8^(16)?

8^(16.5) simplified to 4

8^(18)

8^(16.5)

8^(17)

Tags

CCSS.HSN.RN.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common denominator used to solve 12^(2/3) * 2^(1/4)?

3

6

12

4

Tags

CCSS.8.EE.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cube root of 8?

1

2

3

4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of 8^(2/3)?

2

16

4

8

Tags

CCSS.HSN.RN.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of 9^(3/2) * 9^(1/4)?

9^(7/4)

9^(3/4)

9^(4/3)

9^(5/2)

Tags

CCSS.HSN.RN.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common denominator for 9^(3/2) and 9^(1/4)?

8

6

4

2

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