Question

PLEASE HELP ME
Multiply the monomials:

a2x5b, −0.6axb2 and 0.6a2b3

Answer 1

`-0.36 a^(5)b^(6) x^(6)`

Explanation:

Given:

`a^2x^5b,,\ -0.6axb^2,\ and\ 0.6a^2b^3`

Required

Multiply

The above can be written as

`a^2x^5b * -0.6axb^2\ * \ 0.6a^2b^3`

Split the above expression

`a^2*x^5*b * -0.6*a*x*b^2\ * \ 0.6*a^2*b^3`

Collect like terms

`-0.6 * 0.6 * a^2*a*a^2*b *b^2 *b^3*x^5*x`

Apply first law on indices

`-0.36 * a^(2+1+2) *b^(1+2+3) *x^(5+1)`

`-0.36 * a^(5) *b^(6) *x^(6)`

`-0.36 a^(5)b^(6) x^(6)`

Hence,
`a^2x^5b * -0.6axb^2\ * \ 0.6a^2b^3` is equivalent to
`-0.36 a^(5)b^(6) x^(6)`