Exploring Rational Exponents and Radicals

The video tutorial explains the concept of roots, including square, cube, and fourth roots, and how they relate to fractional exponents. It covers converting expressions between radical and exponential forms and provides examples of simplifying expressions using these concepts. The tutorial emphasizes the importance of understanding the relationship between the root and exponent in fractional exponents.

What is the square root of 25?

• 5

• 4

• 6

• 3

What number times itself three times equals 27?

• 4

• 2

• 3

• 5

If the exponent is a fraction, what does the bottom number represent?

• Root

• Base

• Exponent

• Coefficient

Convert 4^(3/2) to radical form.

• 4 to the 3rd power

• 4 to the 2nd power

• Square root of 4 to the 3rd power

• Cube root of 4 to the 2nd power

What is the square root of 16 to the first power?

• 4

• 3

• 5

• 2

What is the cube root of 27 to the first power?

• 5

• 2

• 3

• 4

Simplify the expression: 4^(3/2).

• 4

• 2

• 16

• 8

What is the cube root of 8 to the second power?

• 16

• 8

• 4

• 2

Convert the expression 27^(1/3) to radical form.

• Fourth root of 27

• Square root of 27

• Cube root of 27

• Fifth root of 27

What is 625 to the 1/4 power?

• 3

• 4

• 5

• 6