Question

$$\left. \begin{array} { l } { ( 1 ) ^ { 512 } + ( 512 ) ^ { 0 } = } \\ { 1 } \end{array} \right.$$

Answer

A=2

Solution


Simplify  \({1}^{512}\)  to  \(1\).
\[1+{512}^{0}=A\times 1\]
Use Rule of Zero: \({x}^{0}=1\).
\[1+1=A\times 1\]
Simplify  \(A\times 1\)  to  \(A\).
\[1+1=A\]
Simplify  \(1+1\)  to  \(2\).
\[2=A\]
Switch sides.
\[A=2\]