Find the value of $(625)^{-\frac{3}{4}}$.

State whether the following statement is true:
There is a number $x$ such that $x^{2}$ is irrational but $x^{4}$ is rational. Justify your answer by an example.

The value of $(256)^{0.16} \times (256)^{0.09}$ is

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.00323232 \ldots$

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.2555 \ldots$

For each question,select the proper option from four options given,to make the statement true: $.............$ is a rational number between $7$ and $8$.