Question

Find the product. If the result is negative, enter "-". If the result is positive, enter "+". -7(- a2 ) 2 ( -b3 ).

Answer 1

Answer: +7a^4b^3

Explanation:

Answer 2

The product is positive, thus it is
`\bold{+7a^4b^3}`

Explanation:

The full question in proper notation is:

"Find the product. If the result is negative, enter "-". If the result is positive, enter "+".

`-7(-a^2)^2(-b^3)`"

We have to work with it using Order of operations know as well as PEMDAS, thus expression inside parenthesis go first and exponents.

On this expression we have to work with exponents

`(-a^2)^2 = (-a^2)(-a^2) =a^4`

Thus we get

`-7(-a^2)^2(-b^3)=-7a^4(-b^3)`

Lastly we can work with multiplication and remembering that the multiplication of two negative signs becomes positive.

`-7(-a^2)^2(-b^3)=7a^4b^3`

So the final simplified expression is
`\bold{7a^4b^3}`