Understanding Properties of Exponents

This video tutorial from MooMooMath and Science covers the properties of exponents, focusing on the power of a product rule. It provides examples of how to apply this rule, including handling negative exponents and complex scenarios. The tutorial also highlights common mistakes to avoid when working with exponents.

What is the power of a product rule in exponents?

• (ab)^m = a^m + b^m

• a^m / b^m = (a/b)^m

• a^m * b^m = (ab)^m

• (ab)^m = a^m * b^m

If (4a^2b^3)^5 is expanded, what is the exponent of 'a'?

• 15

• 10

• 5

• 20

Tags

CCSS.8.EE.A.1

In the expression (x^4y^7)^3, what is the resulting exponent of 'y'?

• 21

• 14

• 7

• 28

Tags

CCSS.8.EE.A.1

How is 4^(-1) expressed in a simplified form?

• 4^1

• 4

• -4

• 1/4

Tags

CCSS.8.EE.A.1

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

• 4x^4/y^4

• 4x^4y^4

• x^4/y^4

• x^4y^4

Tags

CCSS.HSA.APR.A.1

What is the result of (3k^4)^4?

• 81k^4

• 81k^16

• 3^4k^4

• 3k^16

Tags

CCSS.8.EE.A.1

How is (x^4/y^(-4)) simplified?

• x^4y^(-4)

• x^4/y^4

• x^4y^4

• y^4/x^4

Tags

CCSS.8.EE.A.1

Which of the following is NOT a correct application of the power of a product rule?

• (a/b)^m = a^m / b^m

• (ab)^m = a^m + b^m

• (a^m)^n = a^(mn)

• (ab)^m = a^m * b^m

Tags

CCSS.HSA.APR.C.5

What is the correct approach to expand (3x^2 + y)^3?

• Use the power of a product rule

• Use the associative property

• Use the FOIL method

• Use the distributive property

Tags

CCSS.7.EE.A.1

Why does the power of a product rule not apply to (3x^2 + y)^3?

• Because it involves multiplication

• Because it involves addition

• Because it involves subtraction

• Because it involves division

Tags

CCSS.7.EE.A.1