Understanding Square Roots and Exponents

The video tutorial explains how to write a square root expression in base 3 and evaluate it. It begins by introducing the necessary properties of exponents, such as the square root being equivalent to raising to the power of one-half and the rule for multiplying exponents. The tutorial then demonstrates how to simplify the expression using these properties, convert it to base 3, and finally evaluate the expression to find the result.

What is the rational exponent form of the square root of x?

• x to the power of 2

• x to the power of 1/2

• x to the power of 3

• x to the power of 1/3

Which property is used to simplify powers raised to powers?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

What is the simplified form of nine to the power of 16 to the power of one-half to the power of one-half?

• Nine to the power of 8

• Nine to the power of 4

• Nine to the power of 2

• Nine to the power of 1

How is the number 9 expressed in base 3?

• 3 to the power of 2

• 3 to the power of 1

• 3 to the power of 3

• 3 to the power of 4

What is the result of three to the power of eight?

• 6561

• 512

• 2187

• 729

What is the final evaluated result of the expression in base 3?

• 1024

• 6561

• 729

• 2187