Evaluating Nth Roots in Traditional Algebra 2

The video tutorial covers the basics of fractions, exponents, and roots, focusing on how to calculate and simplify expressions involving these concepts. It explains the difference between odd and even roots, introduces radicals and rational exponents, and provides examples of simplifying expressions. The tutorial also highlights the importance of understanding real and imaginary numbers, and offers practical tips for solving mathematical problems using these principles.

What is the result of two raised to the third power?

• 12

• 10

• 8

• 6

What is the square root of 64?

• 6

• 8

• 10

• 12

What does the third root of eight equal?

• 2

• 1

• 3

• 4

How is the third root of negative 27 expressed using rational exponents?

• (-27)^(3/2)

• (-27)^(2/3)

• (-27)^(1/2)

• (-27)^(1/3)

How can you express the fourth root of 81 using rational exponents?

• 81 to the power of 1/5

• 81 to the power of 1/2

• 81 to the power of 1/4

• 81 to the power of 1/3

What is the result of raising negative two to the third power?

• 8

• -8

• -6

• 6

What is the rule for even roots when the radicand is negative?

• One real root

• Two real roots

• No real roots

• Infinite number of roots

What happens when you take an even root of a negative number?

• Results in a positive number

• Results in zero

• Results in a negative number

• No real root exists

What is the sixth root of 64?

• 6

• 4

• 2

• 8

What is the result of 2 to the negative 7th power expressed as a fraction?

• 1/256

• 1/128

• 1/64

• 1/32