Learning how to rewrite an expression from radical form to a rational power

The video tutorial addresses a common mistake students make when dealing with expressions involving roots and exponents. It explains the rule n root of a to the m equals a to the m over n and demonstrates how to apply it to specific problems. The importance of using parentheses correctly in mathematical expressions is emphasized to avoid errors. The tutorial aims to clarify these concepts and prevent common misunderstandings.

What is a common mistake students make when dealing with exponents?

• Forgetting to multiply the base

• Misplacing the decimal point

• Not understanding the format of expressions

• Using the wrong variable

How can the expression n root of a to the m be rewritten?

• m to the a over n

• a to the m over n

• a to the n over m

• n to the a over m

In the expression 4b to the 1/3, what is the correct interpretation?

• 4 times b raised to the 1/3 power

• b times 4 raised to the 1/3 power

• 4b raised to the 1/3 power

• b raised to the 1/3 power times 4

Why is it important to use parentheses in expressions?

• To make the expression look neat

• To ensure the correct order of operations

• To separate different variables

• To simplify the expression

What should you do when an expression is raised to a power?

• Add a decimal point

• Divide by the exponent

• Use parentheses

• Multiply by the base