#### Answer

It should be taken in consideration that p when gets to the power of q, it is calculated by multiplying p with p, q times.

#### Work Step by Step

A number p when gets to the power of q, it is calculated by multiplying p with p, q times.
Simplifying the expression \[-{{5}^{2}}\], you get:
\[\begin{align}
& -{{5}^{2}}=\left( -1 \right)\times {{5}^{2}} \\
& =-1\times 5\times 5
\end{align}\]
\[=-25\]
Simplifying the expression \[{{\left( -5 \right)}^{2}}\], you get:
\[\begin{align}
& {{\left( -5 \right)}^{2}}={{\left( -1 \right)}^{2}}\times {{5}^{2}} \\
& =\left( -1\times -1 \right)\times \left( 5\times 5 \right)
\end{align}\]
\[=25\]
Two expressions have different values and hence, they are different because of the use of brackets.
It should be taken in consideration that p when gets to the power of q, is calculated by multiplying p with p, q times.