Evaluating a negative expression with a rational exponent ex 4, cubr root(-125)

The video tutorial explains how to evaluate expressions using rational exponents. It begins by introducing the concept of rational exponents and the importance of rewriting radicals in this form. The tutorial then demonstrates how to simplify expressions by applying the rules of exponents, specifically focusing on the example of evaluating -125 raised to the one-third power. The process involves rewriting -125 as -5 cubed and then applying the power of a power rule to simplify the expression to -5. The tutorial concludes by summarizing the steps and reinforcing the understanding of rational exponents.

What is the first step in evaluating expressions using rational exponents?

• Convert the expression to a decimal.

• Rewrite the radical as a rational exponent.

• Multiply the exponents directly.

• Add the exponents together.

How can -125 be expressed as a base raised to a power?

• -5 squared

• -5 cubed

• -5 to the fifth power

• -5 to the fourth power

What is the result of raising -5 cubed to the one-third power?

• -1

• 1

• 5

• -5

What rule is applied when a power is raised to another power?

• Add the exponents.

• Subtract the exponents.

• Divide the exponents.

• Multiply the exponents.

What is the final result of evaluating the expression using rational exponents?

• -1

• -5

• 0

• 5