Exploring Multiplication Properties of Exponents

This video tutorial, part of lesson 7.4, covers the properties of multiplying exponential numbers. It begins with a review of zero and negative exponents, then introduces the concept of raising a power to another power, explaining that exponents should be multiplied. The tutorial provides examples and practice problems, demonstrating how to simplify expressions with like bases and negative exponents. It also covers raising a product to a power, using the distributive property as a shortcut. The video concludes with additional examples and practice exercises to reinforce the concepts taught.

What is the result of raising any number to the zero power?

• The number itself

• Undefined

• 1

• 0

How do you handle a negative exponent, such as 2 to the negative 1st power?

• Raise to the positive power

• Multiply by -1

• Take the reciprocal

• Square the number

When multiplying exponential numbers with the same base, what do you do with the exponents?

• Divide them

• Add them

• Multiply them

• Subtract them

What is the result of (5^2)^3?

• 5^6

• 5^5

• 5^9

• 5^8

What is the shortcut for raising a power to another power?

• Multiply the exponents

• Add the exponents

• Subtract the exponents

• Divide the exponents

Simplify the expression: y^5 * y^3

• y^8

• y^15

• y^2

• y^0

How do you simplify an expression with a negative exponent, such as y^-7?

• Square it

• Leave it as is

• Multiply by -1

• Move it to the denominator

What is the result of raising a product to a power, such as (2x)^3?

• 2x^3

• 2 * x^3

• 2^3 * x^3

• 2^3 * x

Simplify the expression: (3xy)^2

• 3 * xy^2

• 3^2 * xy

• 3 * x^2 * y^2

• 3^2 * x^2 * y^2

What is the simplified form of (6a^3b)^2?

• 6 * a^6 * b^2

• 6^2 * a^3 * b^2

• 6 * a^3 * b^2

• 6^2 * a^6 * b^2