Exploring Multiplication Properties of Exponents

The video tutorial covers the properties of exponents, including the product of powers, power of a power, and handling coefficients. It introduces the P-Man method to simplify exponent rules and demonstrates combining like terms. The tutorial provides examples to illustrate these concepts, emphasizing the importance of treating coefficients separately from exponents.

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

• x^9

• x^5

• x^1

• x^6

If you have x^2 * x^7, what is the simplified form?

• x^9

• x^10

• x^5

• x^14

How do you handle coefficients when multiplying -5x^7 by 2x^5?

• Add the coefficients

• Multiply the coefficients

• Subtract the coefficients

• Divide the coefficients

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

• x^9

• x^6

• x^8

• x^5

Simplify (2x^7)^2.

• 2x^9

• 2x^14

• 4x^14

• 4x^9

What is the simplified form of (x^2 y^3)^2?

• x^3 y^6

• x^5 y^5

• x^6 y^4

• x^4 y^6

Using P-MAN, what should you do when you see a power to a power?

• Divide the exponents

• Subtract the exponents

• Multiply the exponents

• Add the exponents

What is the result of multiplying 4x^5 y^6 z^7 by 9x^14 y^20 z^2?

• 36x^18 y^25 z^9

• 36x^19 y^26 z^10

• 36x^19 y^26 z^9

• 36x^20 y^27 z^10

What is the simplified form of (3x^7 y^10 z)^2?

• 9x^14 y^20 z^2

• 6x^14 y^20 z^2

• 6x^14 y^20 z

• 9x^14 y^20 z

What does the 'N' in P-MAN stand for?

• Nothing

• Number

• Negative

• Null