Understanding Fractional Exponents

The video tutorial explains fractional exponents, starting with an introduction and simple examples. It demonstrates how to calculate the square root of a fraction, such as 25/9 raised to the 1/2 power, and then progresses to more complex problems like raising 81/256 to the negative 1/4 power. The tutorial emphasizes understanding the concept of reciprocals and breaking down the problem into manageable steps.

Why is it beneficial to practice with many examples when learning about fractional exponents?

• It makes the topic less intimidating.

• It helps in memorizing formulas.

• It allows skipping the basics.

• It is not beneficial at all.

What is the principal square root of 25/9?

• 5/3

• 3/5

• 9/25

• 25/9

What is the result of raising 25/9 to the 1/2 power?

• 25/9

• 9/25

• 3/5

• 5/3

What is the first step in solving 81/256 raised to the negative 1/4 power?

• Multiply by 4

• Take the reciprocal and raise to the positive 1/4

• Add 1 to the exponent

• Divide by 4

How do you simplify an expression with a negative exponent?

• Subtract the exponent from the base

• Multiply the base by the exponent

• Take the reciprocal of the base and use a positive exponent

• Add the exponent to the base

What is 256 to the 1/4 power?

• 2

• 4

• 8

• 16

What is 81 to the 1/4 power?

• 3

• 4

• 6

• 9

Which number, when raised to the fourth power, equals 256?

• 2

• 4

• 5

• 3

Which number, when raised to the fourth power, equals 81?

• 3

• 2

• 5

• 4

What is the simplified result of 256 to the 1/4 over 81 to the 1/4?

• 5/3

• 4/3

• 3/4

• 2/3