Simplifying Exponential Expressions

This video tutorial explains how to simplify fractional exponents through various examples. It covers the process of breaking down exponents into roots and powers, handling negative exponents, and simplifying complex radical expressions. The video also provides practical examples, such as simplifying 8^(2/3), 16^(5/4), and 25^(-3/2), and offers additional resources for further learning.

What is the value of 8 raised to the power of 2/3?

• 6

• 8

• 4

• 2

How do you simplify 16 raised to the power of 5/4?

• 16

• 64

• 32

• 8

What is the result of 9 raised to the power of 3/2?

• 9

• 27

• 36

• 18

How do you express the cube root of 64 raised to the second power?

• 8

• 64

• 16

• 32

What is the fourth root of 81 raised to the third power?

• 36

• 9

• 18

• 27

How do you simplify the fifth root of 32 raised to the fourth power?

• 16

• 8

• 24

• 32

What is the result of 25 raised to the power of -3/2?

• 25

• 5

• 1/125

• 1/25

How do you simplify the expression: cube root of x^4 times the fourth root of x^5?

• x^(31/12)

• x^(31/24)

• x^(31/36)

• x^(31/48)

What is the simplified form of the expression: fifth root of x^3 divided by the fourth root of x^7?

• x^(20/23)

• x^(-23/20)

• x^(23/20)

• x^(-20/23)

When simplifying expressions with even index numbers and odd exponents, what should you consider?

• Using exponents

• Using absolute values

• Using parentheses

• Using brackets