Properties of Exponents and Reciprocals

The video tutorial explains how to work with exponential functions, specifically y = 3^x. It covers calculating values for both positive and negative exponents, emphasizing the importance of understanding reciprocals for negative exponents. The tutorial also highlights patterns in exponential values and demonstrates how to graph these values effectively.

What is the initial step when solving the equation y = 3^x?

• Plug in random numbers for x.

• Graph the equation directly.

• Plug in positive numbers for x first.

• Use a calculator to find y.

What is the value of 3^2?

• 6

• 3

• 9

• 12

What does 3^0 equal?

• Undefined

• 3

• 1

• 0

What is the result of 3^1?

• 0

• 9

• 3

• 1

What is the value of 3^3?

• 3

• 1

• 9

• 27

What is the value of 3^4?

• 3

• 27

• 9

• 81

How do you express 3^-1 using positive exponents?

• 9

• 3

• 1/3

• 3/1

What is the reciprocal of 3^1?

• 9

• 1/3

• 1/9

• 3

What is the value of 3^-2?

• 9

• 1/3

• 3

• 1/9

What is the value of 3^-3?

• 27

• 1/27

• 3

• 1/3