Understanding Rational Exponents and Radical Forms

The video tutorial explains how to simplify the expression 425th to the power of 1/2. It begins by applying the exponent to the numbers 4 and 25, converting them into radical form. The tutorial then demonstrates calculating the square roots of these numbers, resulting in the simplified expression of 2/5.

What is the first step in simplifying an expression with a rational exponent?

• Apply the exponent to both the numerator and the denominator

• Multiply the base by the exponent

• Convert the expression to a decimal

• Add the exponent to the base

In a rational exponent, what does the denominator represent?

• The base of the expression

• The index of the radical

• The exponent of the expression

• The coefficient of the expression

How do you express a rational exponent as a radical?

• By using the denominator as the index and the numerator as the exponent

• By multiplying the base by the exponent

• By adding the numerator and denominator

• By dividing the base by the exponent

What is the square root of 4?

• 3

• 2

• 4

• 1

What is the simplified form of 425th to the power of 1/2?

• 1/5

• 2/5

• 4/5

• 3/5