What is the simplified form of r^-7+s^-12?

A.) __1___
r^7s^12

B.) -r^7-s^12

C.) r^7/s^12

D.) 1/r^7+1/s^12

Note: ^ means integer.

Respuesta :

I just took the test the answer is D!!! Hope this helps :)

Answer:

Option D.

Step-by-step explanation:

The given expression is  

[tex]r^{-7}+s^{-12}[/tex]

We need to find the simplified form of the given expression.

According to the property of exponents,

[tex]a^{-n}=\dfrac{1}{a^n}[/tex]

Using this property, the given expression can be rewritten as

[tex]\dfrac{1}{r^{7}}+\dfrac{1}{s^{12}}[/tex]

Hence, the correct option is D.