Question

The product of 2/5a²x and -1/5x²a is?

Let me know if there's a better way of writing this out

Answer 1

So you first multiply the fractions: 2/5 times -1/5 = -2/25; then the a's: a^2 times a equals a^3; then multiply the x's: x times x^2 equals x^3.
The answer would be -2/25a^3x^3

Answer 2

`- \frac {2} {25} a^3 x^3`

Explanation:

We are given the following terms and we are to multiply them and find their product:

`\frac{2} {5} a^2x` and
`-\frac {1} {5} x^(2) a`

Multiplying the two terms:

`\frac{2} {5} a^2x` ×
`-\frac{1} {5} x^(2) a`

Taking the LCM and adding the like exponents of the like terms to get:

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

Therefore, the product of the given terms is
`-(2)/(25) a^3x^3`.