Understanding Exponents and Powers

The video tutorial covers the basic rules of exponents, explaining how exponents work with positive, zero, and negative powers. It starts with the multiplication pattern of exponents and then explains why x to the zero power equals one, using the concept of division. The tutorial further explores negative exponents, showing how they represent division by the base raised to a positive power.

What is the value of x to the first power?

• 0

• x^2

• 1

• x

How is x squared represented?

• x

• x * x

• x^3

• x^4

What is the expression for x cubed?

• x^4

• x * x * x

• x * x

• x

How do you express x to the fourth power?

• x

• x * x

• x * x * x

• x * x * x * x

What is the value of x to the zero power?

• 1

• x

• x^2

• 0

Why is x to the zero power equal to one?

• Because x is zero

• Because any number divided by itself is one

• Because x is squared

• Because x is one

What operation is used to find x to the zero power from x to the first power?

• Multiplication

• Addition

• Division

• Subtraction

What is the definition of a negative exponent?

• Dividing by x

• Multiplying by x

• Adding x

• Subtracting x

How do you express x to the negative one power?

• x^2

• x^3

• x

• 1/x

What is the result of dividing one by x?

• x^2

• 1/x

• x

• 0