Question

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

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

Answer:

The answer is $\frac{1}{9}$

Step-by-step explanation:

The operation can be seen in the following form:

$\frac{3^{2} }{3^{4}}$

if we remember the law of exponents...

$\frac{a^{m}}{a^{n} } =a^{m-n}$

so we can solve it the following form:

$\frac{3^{2} }{3^{4} } =3^{2-4} =3^{-2}$

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