Question

`6/2-(81/3)^(2)`

Answer 1

The answer is -726
I hope this helps!

Answer 2

-726

Explanation:

So whenever you have a fraction raised to some power, you can distribute the exponent:
`((a)/(b))^n=(a^n)/(b^n)` the reason for this can be explained, using the definition of an exponent. You can see:
`((a)/(b))^n` as
`(a)/(b) * (a)/(b) * (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:
`(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:

`(6)/(2)-(81^2)/(3^2)`

Now square both values to get

`(6)/(2)-(6,561)/(9)`

The fraction simplifies to:

`(6)/(2)-729`

the left fraction simplifies to 3, so you get

`3-729`

This simplifies to

-726