$\frac{ 1 }{ 10 }+{0.1}^{2}+{0.1}^{3}$
Convert the decimal into a fraction$\frac{ 1 }{ 10 }+{\left( \frac{ 1 }{ 10 } \right)}^{2}+{0.1}^{3}$
Convert the decimal into a fraction$\frac{ 1 }{ 10 }+{\left( \frac{ 1 }{ 10 } \right)}^{2}+{\left( \frac{ 1 }{ 10 } \right)}^{3}$
To raise a fraction to a power, raise the numerator and denominator to that power$\frac{ 1 }{ 10 }+\frac{ 1 }{ 100 }+{\left( \frac{ 1 }{ 10 } \right)}^{3}$
To raise a fraction to a power, raise the numerator and denominator to that power$\frac{ 1 }{ 10 }+\frac{ 1 }{ 100 }+\frac{ 1 }{ 1000 }$
Calculate the sum$\begin{align*}&\frac{ 111 }{ 1000 } \\&0.111\end{align*}$