Simplifying Roots and Exponents

The video tutorial explains how to simplify a given radical expression. It begins by introducing the concept of a Google as 10 raised to the power of 100. The expression is rewritten using the 100th root and powers of 10. The tutorial demonstrates how to simplify the expression by multiplying exponents and identifying equal factors. The process is broken down into steps, showing how the 100th root undoes the exponent, resulting in a simplified expression of 4. The tutorial concludes with a summary of the simplification process.

What is a Google equivalent to in terms of powers of 10?

• 10 raised to the power of 50

• 10 raised to the power of 10

• 10 raised to the power of 100

• 10 raised to the power of 1000

How can the expression 5 squared be simplified?

• 10

• 15

• 20

• 25

What is the result of multiplying the exponents when simplifying powers to powers?

• Add the exponents

• Subtract the exponents

• Divide the exponents

• Multiply the exponents

What is the index of the root when simplifying the 100th root of 10 raised to the power of 200?

• 10

• 50

• 100

• 200

How many equal factors of 10 are needed to simplify the 100th root of 10 raised to the power of 200?

• 200

• 50

• 100

• 150

What does the 100th root of 10 raised to the power of 100 simplify to?

• 10

• 10000

• 100

• 1000

What is the final simplified result of the given radical expression?

• 4

• 5

• 3

• 2

What operation is performed to get the final result of 4 from 100 divided by 25?

• Division

• Multiplication

• Addition

• Subtraction