Negative Exponents and Roots

The video tutorial explains fractional exponents, starting with simple examples like 9 to the 1/2 power, which equals 3. It then introduces negative fractional exponents, explaining that 9 to the negative 1/2 power is 1/3. The tutorial progresses to more complex examples, such as negative 27 to the negative 1/3 power, demonstrating how to handle negative bases and exponents by taking reciprocals and finding cube roots.

What is the principal root of 9?

• 4

• 3

• 2

• 1

What does a negative exponent indicate?

• Multiplication

• Division

• Reciprocal

• Addition

How do you simplify 9 to the negative 1/2 power?

• 1/9

• 9

• 1/3

• 3

What is the result of negative 27 to the 1/3 power?

• -3

• -9

• 3

• 9

What is the cube root of negative 27?

• -9

• 9

• -3

• 3

What is the result of negative 3 raised to the third power?

• 27

• -9

• -27

• 9

How do you express negative 27 to the negative 1/3 power?

• -3

• 1/3

• -1/3

• 3

What is the reciprocal of negative 3?

• -1/3

• 3

• -3

• 1/3

What operation is used to eliminate a negative exponent?

• Multiplication

• Reciprocal

• Subtraction

• Addition

What is the simplified form of 1 over negative 3?

• 1/3

• -1/3

• 3

• -3