Convert peta to zepto
Learn how to convert
1
peta to
zepto
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(peta\right)={\color{rgb(20,165,174)} x}\left(zepto\right)\)
Define the prefix value(s)
\(The \text{ } value \text{ } of \text{ } peta \text{ } is \text{ } 10^{15}\)
\(The \text{ } value \text{ } of \text{ } zepto \text{ } is \text{ } 10^{-21}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(peta\right)={\color{rgb(20,165,174)} x}\left(zepto\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{15}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-21}}}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{15}} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-21}}\)
\(\text{Conversion Equation}\)
\(10^{15} = {\color{rgb(20,165,174)} x} \times 10^{-21}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{-21} = 10^{15}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{-21}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{-21} \times \dfrac{1.0}{10^{-21}} = 10^{15} \times \dfrac{1.0}{10^{-21}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-21}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-21}}}} = 10^{15} \times \dfrac{1.0}{10^{-21}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{15}}{10^{-21}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-21}}\text{ can be rewritten to }10^{21}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{21} \times 10^{15}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = 10^{36}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 10^{36}\)
\(\text{Conversion Equation}\)
\(1.0\left(peta\right) = {\color{rgb(20,165,174)} 10^{36}}\left(zepto\right)\)
