Question

gn="absmiddle" class="latex-formula">

Answer 1

Answer:

-726

Step-by-step explanation:

So whenever you have a fraction raised to some power, you can distribute the exponent: $(\frac{a}{b})^n=\frac{a^n}{b^n}$ the reason for this can be explained, using the definition of an exponent. You can see: $(\frac{a}{b})^n$ as $\frac{a}{b} * \frac{a}{b} * \frac{a}{b}... \text{ n amount of times}$ 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: $\frac{a * a * a \text{ n amount of times...}}{b * b * b\text{ n amount of times...}}$ which can be rewritten as an exponent, since this is the very definition of an exponent. This simplifies to: $\frac{a^n}{b^n}$.

Anyways now that you hopefully understand that, let's simplify the expression

The first step is to distribute the exponent to get the fraction:

$\frac{6}{2}-\frac{81^2}{3^2}$

Now square both values to get

$\frac{6}{2}-\frac{6,561}{9}$

The fraction simplifies to:

$\frac{6}{2}-729$

the left fraction simplifies to 3, so you get

$3-729$

This simplifies to

-726

Answer 2

The answer is -726
I hope this helps!