Learn to evaluate an expression with a negative rational exponent ex 5, (cuberoot(8))^-1

The video tutorial explains how to evaluate expressions using rational exponents. It begins by introducing the concept of rewriting cube roots as rational exponents. The tutorial then demonstrates how to apply properties of exponents to simplify expressions, including handling negative exponents by using reciprocals. The process of evaluating expressions with rational exponents is illustrated, showing how to rewrite bases and calculate the result. The tutorial concludes with a summary of the steps involved in simplifying expressions using rational exponents.

What is the cube root of 8 expressed as a rational exponent?

• 8 to the power of 1/2

• 8 to the power of 3/2

• 8 to the power of 1/3

• 8 to the power of 2/3

How can you rewrite a negative exponent to make it positive?

• Multiply by zero

• Subtract one from the exponent

• Add one to the exponent

• Use the reciprocal of the base

What is 8 to the power of 1/3 equivalent to?

• 1

• 2

• 4

• 8

What is the final simplified form of 8 to the negative one-third power?

• 1/4

• 4

• 2

• 1/2

Which of the following is a property of exponents used in the video?

• Exponents can be divided when bases are different

• Exponents can be multiplied when bases are different

• Negative exponents can be converted using reciprocals

• Exponents can be added when bases are different