Question

Select the correct answer from the drop-down menu. Find the product. The product of 2/5a2x and -1/5x2a is

Answer 1

(2/5a²x)( -1/5x²a) = -2/25a³x³

Explanation:

We have given two terms.

2/5a²x and -1/5x²a

We have to find product of given terms.

We use following formula to solve this.

yᵃyᵇ = yᵃ⁺ᵇ

The product is:

(2/5a²x)( -1/5x²a) =2/5a²x . -1/5x²a

Combining like terms, we have

(2/5a²x)( -1/5x²a) = (2/5)(-1/5)(a²a)(xx²)

(2/5a²x)( -1/5x²a) = (-2/25)(a²⁺¹)(x¹⁺²)

(2/5a²x)( -1/5x²a) =( -2/25)(a³)(x³)

(2/5a²x)( -1/5x²a) = -2/25a³x³

Answer 2

Answer:
`-(2)/(25)a^(3)x^(3)`

Explanation:

1. The problem asked for the product of
`(2)/(5)a^(2)x` and
`-(1)/(5)x^(2)a`, therefore, you must mutliply them, as you can see below:

2. According the exponents propertiess, when you have a multiplication of two powers that has the equal base, you must add the exponents. THerefore, you have the following result:

`((2)/(5)a^(2)x)(-(1)/(5)x^(2)a)=-(2)/(25)a^(3)x^(3)`