Question

Multiply or divide as indicated

Answer 1

`y ^ {-7}`

Explanation:

We are given the following expression and we are to determine whether it is to be multiplied or divided and perform that operation on it accordingly:

`y ^(-9)` ·
`y^ {-8}` ·
`y^(10)`

The dot indicates multiplication and we know that when bases are same, the exponents are added.

`y ^(( -9 - 8 + 10 )) = y^(-7)`

Therefore, the simplified answer is
`y^(-7)`.

Answer 2

`y^(-9).y^(-8).y^(10)=y^(-7)`

Explanation:

In multiplication of powers with the same base, we must add the exponents:

`a^(m) a^(n)=a^(m+n)`

Applying this to the problem:

`y^(-9).y^(-8).y^(10)=y^(-9+(-8)+10)`

Eliminating the parentheses:

`y^(-9).y^(-8).y^(10)=y^(-9-8+10)\\ y^(-9).y^(-8).y^(10)=y^(-7)`