Negative 4 over seven squared minus negative 2 over five cubed over the square root of negative 64 over 625 divided by the cubed root of neg

Okay! This one looks really... long... Nevertheless! Lets solve it!

Alright, lets start with setting out the equation.

$$\left({\frac{\left(-{\mathtt{4}}\right)}{{{\mathtt{7}}}^{{\mathtt{2}}}}}\right){\mathtt{\,-\,}}{\frac{{\frac{{\frac{{\frac{{\mathtt{\,-\,}}\left({\frac{{\mathtt{2}}}{{{\mathtt{5}}}^{{\mathtt{3}}}}}\right)}{{\mathtt{\,-\,}}{\mathtt{sqr64}}}}}{{\mathtt{625}}}}}{{{\mathtt{\,-\,}}\left({\frac{{\mathtt{8}}}{{\mathtt{125}}}}\right)}^{{\mathtt{1}}}}}}{{\mathtt{3}}}}$$

I am not quite sure what you were asking... This is what I got out of your question. Perhaps this is correct?

Anyway, Indeed this is a very confusing equation

First of all, we will need to work out

$${\mathtt{\,-\,}}\left({\frac{{\mathtt{4}}}{{{\mathtt{7}}}^{{\mathtt{2}}}}}\right)$$

This will equal to -0.0816326530612245.

Then we move on. We will substitute along and make this question easier.

$${\mathtt{\,-\,}}{\frac{{\mathtt{0.081\: \!632\: \!653\: \!061\: \!224\: \!5}}}{{{\mathtt{5}}}^{{\mathtt{3}}}}} = {\mathtt{\,-\,}}{\frac{{\mathtt{4}}}{{\mathtt{6\,125}}}} = -{\mathtt{0.000\: \!653\: \!061\: \!224\: \!489\: \!8}}$$

Then we subsititute what we get as the numerator again.

$${\mathtt{\,-\,}}{\frac{{\mathtt{0.000\: \!653\: \!061\: \!224\: \!489\: \!8}}}{{\sqrt{{\frac{{\mathtt{64}}}{{\mathtt{625}}}}}}}} = {\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{490}}}} = -{\mathtt{0.002\: \!040\: \!816\: \!326\: \!530\: \!6}}$$

Once again we substitute!

$${\mathtt{\,-\,}}{\frac{{\frac{{\mathtt{0.002\: \!040\: \!816\: \!326\: \!530\: \!6}}}{{{\mathtt{\,-\,}}\left({\frac{{\mathtt{8}}}{{\mathtt{125}}}}\right)}^{{\mathtt{1}}}}}}{{\mathtt{3}}}} = {\frac{{\mathtt{25}}}{{\mathtt{2\,352}}}} = {\mathtt{0.010\: \!629\: \!251\: \!700\: \!680\: \!2}}$$

Here we are!

The Answer!

Negative 4 over seven squared minus negative 2 over five cubed over the square root of negative 64 over 625 divided by the cubed root of negative 8 over 125 equals to 0.0106292517006802!

Thank you Takahiro, what a great effort!

I have no idea what the question really is but the square root of negative 64 = 8i

Perhaps the person who posted this can clean it up and introduce brackets so it is easier to read!

Melody, I see what you have pointed out, but, his question is too confusing so I combined the fraction within the square root

Yes I know, the question does not make much sense.

I have given you a thumbs up.  I am impressed with your answer. (The effort and the LaTex)

Not many people on the forum can use LaTex as well as you do, I am very glad that you have joined us!