Understanding Exponents and Roots

Understanding Exponents and Roots

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to express roots using exponents and introduces the power law, which is essential for simplifying expressions with fractional exponents. It demonstrates the application of these concepts through examples, showing how to simplify complex expressions and solve problems effectively.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the square root of 5 be expressed using fractional exponents?

5^3

5^(1/3)

5^(1/2)

5^2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the fractional exponent form of the cube root of 7?

7^(1/3)

7^(1/2)

7^3

7^2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the nth root of a number 'a' represented as a fractional exponent?

a^n

a^(n^2)

a^(1/n)

a^(n/1)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the power law state about a number raised to a power and then raised to another power?

The powers are divided

The powers are multiplied

The powers are subtracted

The powers are added

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If you have 5^2 raised to the power of 3, how can it be simplified using the power law?

5^9

5^5

5^8

5^6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression 8^(2x3), what is the base?

6

8

3

2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can 8^(2x3) be rewritten using the power law?

8^(2+3)

8^(2*3)

8^(2/3)

8^(3/2)

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