$\frac{ 1 }{ {5}^{-6} } \times \frac{ 1 }{ {5}^{-11} }\div\frac{ {\left( {5}^{2} \right)}^{4} }{ {\left( {5}^{10} \right)}^{2} }$
Simplify the expression by multiplying exponents$\frac{ 1 }{ {5}^{-6} } \times \frac{ 1 }{ {5}^{-11} }\div\frac{ {5}^{8} }{ {\left( {5}^{10} \right)}^{2} }$
Simplify the expression by multiplying exponents$\frac{ 1 }{ {5}^{-6} } \times \frac{ 1 }{ {5}^{-11} }\div\frac{ {5}^{8} }{ {5}^{20} }$
To divide by a fraction, multiply by the reciprocal of that fraction$\frac{ 1 }{ {5}^{-6} } \times \frac{ 1 }{ {5}^{-11} } \times \frac{ {5}^{20} }{ {5}^{8} }$
Simplify the expression$\frac{ 1 }{ {5}^{-6} } \times \frac{ 1 }{ {5}^{-11} } \times {5}^{12}$
Cancel out the common factor ${5}^{-6}$$\frac{ 1 }{ {5}^{-11} } \times {5}^{18}$
Cancel out the common factor ${5}^{-11}$$\begin{align*}&{5}^{29} \\&\approx1.86265 \times {10}^{20}\end{align*}$