Use the product rule to simplify the expression

Question

Use the product rule to simplify the expression.

(-4x^4p^6)(6y^5x^2)

Answer 1

(-4x⁴p⁶)(6y⁵x²)

 

The product rule states that when multiplying 2 powers that have the same base, you can add the exponents.

 

Rearrange the question to group common bases

(-4)(6)(x⁴⁺²)(y⁵)(p⁶)

 

Multiply and solve

-24x⁶y⁵p⁶

Answer 2

Okay, if I am reading the problem correctly

 

(-4x⁴p⁶)(6y⁵x²) = -24x⁶p⁶y⁵