Exploring Rational Exponents and Radicals

The video tutorial covers rational exponents and radicals, explaining how fractional exponents work, with the numerator as the exponent and the denominator as the root. It demonstrates converting expressions between radical and exponential forms, using examples to illustrate the process. The tutorial also shows how to use Desmos for calculations and provides step-by-step simplification of expressions.

What does the bottom number in a fraction exponent represent?

• The coefficient

• The base

• The root

• The exponent

How is the square root of a number typically written?

• With a small 2 in front

• With a small 4 in front

• With no number in front

• With a small 3 in front

Convert 36^(1/2) to radical form.

• Fourth root of 36

• 36 squared

• Cube root of 36

• Square root of 36

What is the cube root of 27?

• 5

• 2

• 3

• 4

How can you type 8^(1/3) in Desmos?

• 8^(1/3)

• Cube root of 8

• Square root of 8

• 8^(1/2)

What is the simplified form of (4^(1/2))^3?

• 8

• 2

• 4

• 16

Convert 81^(1/2) to its simplest form.

• 7

• 8

• 10

• 9

What is the result of multiplying 3 * 8?

• 23

• 24

• 22

• 21

Convert the expression (a^(3/5)) to exponential form.

• a^(3/5)

• a^(5/3)

• a^(2/3)

• a^(3/4)

What is 625^(1/4)?

• 4

• 5

• 6

• 3