Learn how to use power to quotient rule to simplify an expression with rational power

The video tutorial explains how to handle fractional exponents, focusing on the power to quotient rule. It demonstrates simplifying expressions by converting them into radical form and explores quartic numbers. The tutorial concludes with a practical example of calculating the fourth root of 16, emphasizing the importance of understanding these mathematical concepts.

What does the power to quotient rule state about a fraction raised to a power?

• Only the numerator is raised to the power.

• Only the denominator is raised to the power.

• Both the numerator and denominator are raised to the power.

• The fraction remains unchanged.

When converting a fractional exponent to radical form, what does the denominator represent?

• The base of the fraction.

• The index of the root.

• The exponent of the numerator.

• The exponent of the denominator.

What is the fourth root of 16?

• 4

• 16

• 2

• 8

Which number, when multiplied by itself four times, equals 1?

• 2

• 4

• 1

• 0

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

• 8

• 16

• 4

• 32