# Calculate: 0.1+0.1^2+0.1^3

## Expression: $0.1+{0.1}^{2}+{0.1}^{3}$

Convert the decimal into a fraction

$\frac{ 1 }{ 10 }+{0.1}^{2}+{0.1}^{3}$

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*}

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