Convert stathenry to abhenry

Learn how to convert 1 stathenry to abhenry step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(stathenry\right)={\color{rgb(20,165,174)} x}\left(abhenry\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(henry\right)\)
\(\text{Left side: 1.0 } \left(stathenry\right) = {\color{rgb(89,182,91)} 8.9876 \times 10^{11}\left(henry\right)} = {\color{rgb(89,182,91)} 8.9876 \times 10^{11}\left(H\right)}\)
\(\text{Right side: 1.0 } \left(abhenry\right) = {\color{rgb(125,164,120)} 10^{-9}\left(henry\right)} = {\color{rgb(125,164,120)} 10^{-9}\left(H\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(stathenry\right)={\color{rgb(20,165,174)} x}\left(abhenry\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 8.9876 \times 10^{11}} \times {\color{rgb(89,182,91)} \left(henry\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-9}}} \times {\color{rgb(125,164,120)} \left(henry\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 8.9876 \times 10^{11}} \cdot {\color{rgb(89,182,91)} \left(H\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-9}} \cdot {\color{rgb(125,164,120)} \left(H\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 8.9876 \times 10^{11}} \cdot {\color{rgb(89,182,91)} \cancel{\left(H\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{-9}} \times {\color{rgb(125,164,120)} \cancel{\left(H\right)}}\)
\(\text{Conversion Equation}\)
\(8.9876 \times 10^{11} = {\color{rgb(20,165,174)} x} \times 10^{-9}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{-9} = 8.9876 \times 10^{11}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{-9}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{-9} \times \dfrac{1.0}{10^{-9}} = 8.9876 \times 10^{11} \times \dfrac{1.0}{10^{-9}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-9}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-9}}}} = 8.9876 \times 10^{11} \times \dfrac{1.0}{10^{-9}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{8.9876 \times 10^{11}}{10^{-9}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-9}}\text{ can be rewritten to }10^{9}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{9} \times 8.9876 \times 10^{11}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = 10^{20} \times 8.9876\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 8.9876 \times 10^{20}\)
\(\text{Conversion Equation}\)
\(1.0\left(stathenry\right) = {\color{rgb(20,165,174)} 8.9876 \times 10^{20}}\left(abhenry\right)\)

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