Evaluating Rational Exponents and Radicals

This video tutorial covers the understanding of rational exponents and radicals. It begins with an introduction to the concepts of rational exponents and radicals, explaining their relationship. The tutorial then explores integer and negative exponents, including the rules for zero exponents. It delves into radical expressions, explaining the components such as index and radicand. The video also covers the simplification of expressions with rational exponents, providing practical examples and exercises to reinforce learning.

What does the term 'rational' in rational exponents refer to?

• Whole numbers

• Negative numbers

• Fractions

• Imaginary numbers

How is 3 to the power of 2 evaluated?

• 3 - 3

• 3 / 3

• 3 * 3

• 3 + 3

What is the value of any nonzero number raised to the power of 0?

• 1

• Undefined

• The number itself

• 0

What is the term for the number inside a radical sign?

• Exponent

• Radicand

• Index

• Base

What is the index of a square root if it is not explicitly shown?

• 2

• 1

• 3

• 4

How can the nth root of a number be expressed as an exponent?

• a^(1/n)

• a^(n^2)

• a^n

• a^(n/1)

What is the cube root of 64?

• 5

• 3

• 4

• 2

What is the value of 27 to the power of 2/3?

• 9

• 3

• 81

• 27

What is the simplified form of the square root of 25 cubed?

• 50

• 25

• 125

• 625

What is the value of 2 to the power of 5?

• 128

• 16

• 64

• 32