How to Solve a Radical Equation by Rewriting Your Radical with a Rational Power

The video tutorial covers solving algebraic equations using inverse operations and rational exponents. It begins with isolating variables through inverse operations, then moves to understanding and applying rational exponents. The instructor explains how to simplify expressions using rational powers and provides step-by-step guidance. The session concludes with final problem-solving steps and clarifications on common doubts.

What is the first step in isolating a variable using inverse operations?

• Subtract a constant from both sides

• Multiply both sides by a constant

• Divide both sides by a constant

• Add a constant to both sides

How do you undo a fifth root in an equation?

• Raise it to the third power

• Take the cube root

• Raise it to the fifth power

• Take the square root

What is the reciprocal of the rational exponent 3/5?

• 2/3

• 5/2

• 3/5

• 5/3

What happens when you raise a number with a rational exponent to its reciprocal?

• It halves

• It doubles

• It becomes one

• It becomes zero

How can you express the fifth root of a number using rational exponents?

• As a power of 3

• As a power of 1/3

• As a power of 5

• As a power of 1/5

What is the result of 2 raised to the fifth power?

• 32

• 16

• 128

• 64

Why is it important to understand rational exponents without a calculator?

• They are not part of the curriculum

• They are not used in exams

• They simplify complex calculations

• They are only theoretical