Exploring the Multiplication Law of Exponents

The video tutorial by Bentley covers important reminders about submissions and tech issues, followed by a review of the additive law of exponents. It then introduces the multiplication law of exponents, providing examples to illustrate the concepts. The tutorial concludes with a complex example and clarifications on the differences between the two laws of exponents.

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What is the additive law of exponents?

• a^x * a^y = a^(x+y)

• a^x * a^y = a^(x-y)

• a^x / a^y = a^(x+y)

• a^x / a^y = a^(x-y)

What is the result of 2^5 * 2^7 according to the additive law of exponents?

• 2^35

• 2^12

• 2^10

• 2^2

What does the exponent outside the parenthesis indicate in the multiplication law of exponents?

• The difference of the exponents inside the parenthesis

• The sum of the exponents inside the parenthesis

• The number of terms inside the parenthesis

• The number of groups inside the parenthesis

What is the multiplication law of exponents?

• x^a / x^b = x^(a-b)

• x^a / x^b = x^(a*b)

• x^a * x^b = x^(a*b)

• x^a * x^b = x^(a+b)

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

• 2^2 x^6 y^3

• 2^3 x^6 y^2

• 2^3 x^3 y^3

• 2^3 x^6 y^3

In the example (2x^2y)^3, what is the exponent of x in the simplified form?

• 1

• 3

• 2

• 6

What is the result of 2^5 * 2^9 according to the additive law of exponents?

• 2^4

• 2^10

• 2^45

• 2^14

What is the result of (2^5)^9 according to the multiplication law of exponents?

• 2^14

• 2^45

• 2^10

• 2^4