Question

What is the value of 3 to the power 2 over 3 to the power 4?

1/81

1/27

1/9

1/3

Answer 1

3^2/3^4

To find the answer, we can use this equation:

a^m / a^n = a^m - n

We can now just use 2 - 4, which equals -2.

Now we have 3^-2

3^-2 in decimal form is 0.11111, which equal to 1/9

Answer 2

The answer is
`(1)/(9)`

Explanation:

The operation can be seen in the following form:

`(3^(2) )/(3^(4))`

if we remember the law of exponents...

`(a^(m))/(a^(n) ) =a^(m-n)`

so we can solve it the following form:

`(3^(2) )/(3^(4) ) =3^(2-4) =3^(-2)`

and the result,
`3^(-2)`, can be expressed like this:

`3^(-2)`=0.1111111

And that, in fraction form, is 1/9

That's it. Let me know if you have questions