Question

How do you multiply `-7x ^ { 4} y ^ { 3} ( 10x ^ { 5} y ^ { 4} )`?

Answer 1

See the entire solution process below:

Explanation:

First, rewrite the expression as:

`(-7 xx 10)(x^4x^5)(y^3y^4) = -70(x^4x^5)(y^3y^4)`

Now, use this rule for exponents to complete the multiplication:

`x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))`

`-70(x^color(red)(4) xx x^color(blue)(5))(y^color(red)(3) xx y^color(blue)(4)) = -70x^(color(red)(4) + color(blue)(5))y^(color(red)(3) + color(blue)(4)) =`

`-70x^9y^7`