Respuesta :

Answer:

[tex]y^{-9}.y^{-8}.y^{10}=y^{-7}[/tex]

Step-by-step explanation:

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

[tex]a^{m} a^{n}=a^{m+n}[/tex]

Applying this to the problem:

[tex]y^{-9}.y^{-8}.y^{10}=y^{-9+(-8)+10}[/tex]

Eliminating the parentheses:

[tex]y^{-9}.y^{-8}.y^{10}=y^{-9-8+10}\\ y^{-9}.y^{-8}.y^{10}=y^{-7}[/tex]

alinakincsem

Answer:

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

Step-by-step 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:

[tex] y ^{-9} [/tex] · [tex] y^ {-8} [/tex] · [tex] y^{10} [/tex]

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

[tex] y ^{( -9 - 8 + 10 )} = y^{-7}[/tex]

Therefore, the simplified answer is [tex]y^{-7}[/tex].

Otras preguntas