Understanding Exponents

This video tutorial covers the properties of exponents, including the product, quotient, and power rules. It provides detailed explanations and examples for each rule, followed by practice problems to reinforce understanding. The tutorial also introduces negative exponents and how to simplify them.

What is the result of multiplying x^2 by x^3?

• x^8

• x^9

• x^6

• x^5

When dividing x^7 by x^2, what is the resulting exponent?

• x^9

• x^5

• x^3

• x^4

How do you simplify (x^3)^5?

• x^15

• x^8

• x^10

• x^5

What is the value of any number raised to the zero power?

• 1

• 0

• The number itself

• Undefined

Simplify the expression: y^4 * y^7.

• y^11

• y^3

• y^28

• y^8

What is the result of (2^3)^2?

• 8

• 16

• 64

• 32

How do you simplify x^(-2)?

• x^(-1)

• -x^2

• x^2

• 1/x^2

What happens to the exponent when you move x^(-3) from the denominator to the numerator?

• It becomes x^0

• It becomes x^3

• It becomes x^(-6)

• It remains x^(-3)

If 3/4 is raised to the power of -2, what is the result?

• 4/3

• 9/16

• 16/9

• 3/4

How do you simplify (x^3)^(-4)?

• x^12

• 1/x^12

• x^(-12)

• 1/x^(-12)