Exponent Rules: Multiplying and Dividing Variables

This video tutorial covers the basics of multiplying and dividing terms with exponents and variables. It begins with an introduction to the concepts, followed by detailed explanations of how to handle multiplication and division when the bases are the same. The tutorial progresses to more complex problems involving coefficients and multiple terms, providing step-by-step solutions and emphasizing the importance of understanding the underlying principles. The video concludes with a summary of key points and advice on breaking down complex problems into manageable parts.

What is the main focus of this lesson?

• Solving quadratic equations

• Multiplying and dividing terms with exponents and variables

• Graphing linear equations

• Adding and subtracting variables

If you have x^3 * x^5, what is the simplified form?

• x^5

• x^2

• x^8

• x^15

Why can't you add the exponents in x^3 * y^5?

• Because the bases are different

• Because the exponents are different

• Because the variables are the same

• Because the exponents are the same

What is the simplified form of a^7 / a^2?

• a^2

• a^3

• a^9

• a^5

In the expression 2x^2 * x^4, what is the coefficient of the simplified form?

• 8

• 6

• 4

• 2

What is the simplified form of 4g^14 / g^11?

• 4g^3

• g^3

• 4g^25

• g^25

How do you simplify 2k^13 * 3k^15?

• 6k^28

• 5k^28

• 6k^2

• 5k^2

What is the result of 12n^26 / n^19?

• n^45

• 12n^45

• n^7

• 12n^7

How do you simplify z^30 / z^9 / z^6?

• z^15

• z^21

• z^9

• z^3

What is the simplified form of 6y^2 * 2y^6 * y^3?

• 12y^9

• 8y^9

• 8y^11

• 12y^11