Question

$$\frac{(2-2)^{2}}{2^{2}-2^{2}}$$

Answer

0

Solution


Simplify  \(2-2\)  to  \(0\).
\[\frac{{0}^{2}}{{2}^{2}-{2}^{2}}\]
Simplify  \({2}^{2}\)  to  \(4\).
\[\frac{{0}^{2}}{4-4}\]
Simplify  \(4-4\)  to  \(0\).
\[\frac{{0}^{2}}{0}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[{0}^{2-1}\]
Simplify  \(2-1\)  to  \(1\).
\[{0}^{1}\]
Use Rule of One: \({x}^{1}=x\).
\[0\]