Exponents and Radicals Practice Problems

This video tutorial covers level three exponents, focusing on fractional and negative exponents. It begins with an introduction to square roots and cube roots, explaining how fractional exponents relate to these concepts. The tutorial then explores calculations involving fractional exponents, including negative fractional exponents, and provides examples to illustrate these concepts. The video aims to build an understanding of how to work with these types of exponents and prepares viewers for practice problems.

What is the result of 4 raised to the 1/2 power?

• 1

• 4

• 2

• 3

Which of the following is equivalent to 8 raised to the 1/3 power?

• 3

• 2

• 1

• 4

What is the cube root of 27?

• 3

• 2

• 5

• 4

How do you express 9 raised to the 3/2 power using simpler exponents?

• 9^(1/2) * 9^(3/2)

• 9^(1/2) * 9^(1/2)

• 9^(1/2) * 9^3

• 9^(1/2) * 9^(1/3)

What is the result of 16 raised to the 1/4 power?

• 4

• 3

• 2

• 1

How do you simplify 16 raised to the negative 1/2 power?

• 1/4

• 16

• 1/16

• 4

What is the result of 8/27 raised to the negative 1/3 power?

• 2/3

• 3/2

• 2

• 1/2

What is the reciprocal of negative 8 raised to the negative 1/3 power?

• 2

• -2

• 1/2

• -1/2

How do you express 9/4 raised to the negative 3/2 power?

• 4/9 to the 3/2

• 9/4 to the 3/2

• 4/9 to the 1/2

• 9/4 to the 1/2

What is the result of 4/9 raised to the 3/2 power?

• 2/3

• 27/8

• 3/2

• 8/27