Question

Compute $\dfrac{(2/3)^3}{(2/9)^2}$.

Answer 1

\(\color{#000000 }{ \displaystyle \frac{\left(\dfrac{2}{3}\right)^3}{\left(\dfrac{2}{9}\right)^3} }\)

like this?

Answer 2

Here the $ don't work, you have to use `\( text/tex/something \)`

Answer 3

Most general example of this:

\(\large \color{#000000 }{ \displaystyle \frac{\left(\dfrac{a}{b}\right)^k}{\left(\dfrac{a}{b^{2}}\right)^k} }\)

\(\large \color{#000000 }{ \displaystyle \frac{\quad \dfrac{a^k}{b^k}\quad }{\dfrac{a^k}{(b^{2})^k}} }\)

\(\large \color{#000000 }{ \displaystyle\dfrac{a^k}{b^k}\div \dfrac{a^k}{(b^{2})^k}}\)

\(\large \color{#000000 }{ \displaystyle\dfrac{a^k}{b^k}\times \dfrac{(b^{2})^k}{a^k}}\)

\(\large \color{#000000 }{ \displaystyle\dfrac{(b^{2})^k}{b^k}}\)

\(\large \color{#000000 }{ \displaystyle\dfrac{b^{2k}}{b^k}=b^{2k-k}=b^k}\)

Answer 4

like that
can u answer it

Answer 5

I just gave you an abstract example...

Answer 6

(A, b and k are some non-zero real numbers-
just like the numbers in your problems)