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Question
\alpha=1\times 10^{-20}J\times \frac{m^{2}}{s}
Solve the equation
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\text{Solve for }J
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\text{Solve for }\alpha
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\text{Solve for }m
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\text{Solve for }s
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J=\frac{10^{20}s\alpha }{m^{2}}
Evaluate
\alpha=1\times 10^{-20}J\times \frac{m^{2}}{s}
Simplify
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Evaluate
1\times 10^{-20}J\times \frac{m^{2}}{s}
Evaluate
10^{-20}J\times \frac{m^{2}}{s}
Rewrite the expression
More Steps
Evaluate
10^{-20}J
\text{Express with a positive exponent using }a^{-n}=\frac{1}{a^n}
\frac{1}{10^{20}}\times J
Rewrite the expression
\frac{J}{10^{20}}
\frac{J}{10^{20}}\times \frac{m^{2}}{s}
Multiply the terms
\frac{Jm^{2}}{10^{20}s}
\alpha=\frac{Jm^{2}}{10^{20}s}
Evaluate
\alpha =1\times 10^{-20}J\times \frac{m^{2}}{s}
Evaluate
\alpha =10^{-20}J\times \frac{m^{2}}{s}
Multiply the terms
More Steps
Evaluate
10^{-20}J\times \frac{m^{2}}{s}
Rewrite the expression
More Steps
Evaluate
10^{-20}J
\text{Express with a positive exponent using }a^{-n}=\frac{1}{a^n}
\frac{1}{10^{20}}\times J
Rewrite the expression
\frac{J}{10^{20}}
\frac{J}{10^{20}}\times \frac{m^{2}}{s}
Multiply the terms
\frac{Jm^{2}}{10^{20}s}
\alpha =\frac{Jm^{2}}{10^{20}s}
Rewrite the expression
\alpha =\frac{m^{2}J}{10^{20}s}
Swap the sides of the equation
\frac{m^{2}J}{10^{20}s}=\alpha
Cross multiply
m^{2}J=10^{20}s\alpha
Divide both sides
\frac{m^{2}J}{m^{2}}=\frac{10^{20}s\alpha }{m^{2}}
Solution
J=\frac{10^{20}s\alpha }{m^{2}}
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