Question

Which equation shows the correct use of power of products property?

a) (2x^5y^2)^3 = 6x5y^2
b) (2x^5y^2)^3 = 6x^15y^6
c) (2x^5y^2)^3 = 8x^8y^5
d) (2x^5y^2)^3 = 8x^15y^6

Answer 1

yo its 2020

Answer 2

hopefully 2020 will actually be a good year for once

Answer 3

We can all hope

Answer 4

lmao ok

Answer 5

[AI-generated answer — Explain Bot]

The power of products property states that when a quantity with an exponent is raised to another exponent, you need to multiply the exponents. To apply this property correctly, you multiply the exponents of each base inside the parentheses by the exponent outside the parentheses.

Let's analyze the given options:

a) (2x^5y^2)^3 = 6x5y^2
In this option, the exponents are not multiplied correctly. 5 should be multiplied by 3, not added. This equation does not represent the correct use of the power of products property.

b) (2x^5y^2)^3 = 6x^15y^6
In this option, the exponents are correctly multiplied. 5 is multiplied by 3, and 2 is also multiplied by 3. This equation represents the correct use of the power of products property.

c) (2x^5y^2)^3 = 8x^8y^5
In this option, the exponents are not multiplied correctly. 5 should be multiplied by 3, and 2 should also be multiplied by 3. This equation does not represent the correct use of the power of products property.

d) (2x^5y^2)^3 = 8x^15y^6
In this option, the exponents are not multiplied correctly. 5 should be multiplied by 3, and 2 should also be multiplied by 3. This equation does not represent the correct use of the power of products property.

Therefore, the equation that shows the correct use of the power of products property is:

b) (2x^5y^2)^3 = 6x^15y^6

Answer 6

its d