Understanding Fractional Exponents and Square Roots

The video tutorial explains how to convert between exponent and root forms, focusing on fractional exponents. It provides examples using 25, 121, and 7 squared to demonstrate the simplification process. The key takeaway is understanding that x raised to the one-half power equals the square root of x, and how to apply this to simplify expressions.

What does the denominator in a fractional exponent represent?

• The power of the base

• The index of the root

• The base of the exponent

• The coefficient of the base

How can 25 raised to the one-half power be expressed in root form?

• Cube root of 25

• Square root of 25

• Fourth root of 25

• Fifth root of 25

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

• 5

• 15

• 10

• 20

In exponent form, how is the square root of 121 represented?

• 121 raised to the one-fourth power

• 121 raised to the one-third power

• 121 raised to the one-fifth power

• 121 raised to the one-half power

What is the simplified form of the square root of 121?

• 12

• 9

• 10

• 11

What is the exponent form of the square root of 49?

• 49 raised to the one-half power

• 49 raised to the one-third power

• 49 raised to the one-fourth power

• 49 raised to the one-fifth power

What is the simplified form of the square root of seven squared?

• 8

• 7

• 6

• 5

Which of the following is equivalent to 49 raised to the one-half power?

• Square root of 81

• Square root of 64

• Square root of 49

• Square root of 36