Answer:
-726
Step-by-step explanation:
So whenever you have a fraction raised to some power, you can distribute the exponent: [tex](\frac{a}{b})^n=\frac{a^n}{b^n}[/tex] the reason for this can be explained, using the definition of an exponent. You can see: [tex](\frac{a}{b})^n[/tex] as [tex]\frac{a}{b} * \frac{a}{b} * \frac{a}{b}... \text{ n amount of times}[/tex] multiplying fractions simply multiplying the numerators by the other numerators, and the denominators by the other denominators. So you're going to have the fraction: [tex]\frac{a * a * a \text{ n amount of times...}}{b * b * b\text{ n amount of times...}}[/tex] which can be rewritten as an exponent, since this is the very definition of an exponent. This simplifies to: [tex]\frac{a^n}{b^n}[/tex].
Anyways now that you hopefully understand that, let's simplify the expression
The first step is to distribute the exponent to get the fraction:
[tex]\frac{6}{2}-\frac{81^2}{3^2}[/tex]
Now square both values to get
[tex]\frac{6}{2}-\frac{6,561}{9}[/tex]
The fraction simplifies to:
[tex]\frac{6}{2}-729[/tex]
the left fraction simplifies to 3, so you get
[tex]3-729[/tex]
This simplifies to
-726
