What is (((20m*s^{-1})^2))/((2(1/15)*m*s^{-2))} ?

The solution to (((20m*s^{-1})^2))/((2(1/15)*m*s^{-2))} is 3000m

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simplify (((20ms^{-1})^2))/((2(1/15)m*s^{-2))}

simplify

\frac{( ( 20 m \cdot s ^{- 1} ) ^{2} )}{( 2 ( \frac{1}{15} ) \cdot m \cdot s ^{- 2} )}

3000 m

Solution steps

\frac{( 20 m s ^{- 1} ) ^{2}}{2 ( \frac{1}{15} ) m s ^{- 2}}

Apply rule:

(a) = a

(\frac{1}{15}) = \frac{1}{15}

= \frac{( 20 m s ^{- 1} ) ^{2}}{2 \cdot \frac{1}{15} m s ^{- 2}}

Simplify

(20 m s^{- 1})^{2} : 2 0^{2} m^{2} \frac{1}{s ^{2}}

= \frac{2 0 ^{2} m ^{2} \frac{1}{s ^{2}}}{2 \cdot \frac{1}{15} m s ^{- 2}}

Factor

2 0^{2} : 2^{4} \cdot 5^{2}

= \frac{2 ^{4} \cdot 5 ^{2} m ^{2} \frac{1}{s ^{2}}}{2 \cdot \frac{1}{15} m s ^{- 2}}

\frac{2 ^{4}}{2} = 2^{3}

= \frac{2 ^{3} \cdot 5 ^{2} m ^{2} \frac{1}{s ^{2}}}{\frac{1}{15} m s ^{- 2}}

Simplify

\frac{m ^{2}}{m} : m

= \frac{2 ^{3} \cdot 5 ^{2} m \frac{1}{s ^{2}}}{\frac{1}{15} s ^{- 2}}

Simplify

\frac{2 ^{3} \cdot 5 ^{2} m \frac{1}{s ^{2}}}{\frac{1}{15} s ^{- 2}} : 3000 m

= 3000 m

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What is (((20m*s^{-1})^2))/((2(1/15)*m*s^{-2))} ?
The solution to (((20m*s^{-1})^2))/((2(1/15)*m*s^{-2))} is 3000m