Question

Simplify the expression. y • y–2 • y5

Answer 1

Since you have the same base "y" you add all the exponents:


`y * y^(-2)*y^5 = y^(1+-2+5) = y^4`

So
`y^4` is your answer.

Answer 2

`y(y-2)y^(5) = y^(7) -2y^(6)`

Explanation:

Since you have a multiplication of several factors, it is necessary to perform multiplication by multiplication.

First, we multiply what is outside the parentheses. Remember that by multiplying the same base, the exponents add up.

`y(y-2)y^(5)  = y^(6) (y-2)`

Next, the multiplication of the monomial by the binomial is performed. Remember that you must multiply each term of the parenthesis by the monomial.

y^{7} -2y^{6}[/tex]