Solve v = m1v1 m^2v^2 / m1 m^2

Evaluate

v = m \times 1 \times v \times 1 \times m^{2} \times \frac{v ^{2}}{m} \times 1 \times m^{2}

Multiply the terms

More Steps

v = m^{4} v^{3}

Rewrite the expression

v = v^{3} m^{4}

Swap the sides of the equation

v^{3} m^{4} = v

Divide both sides

\frac{v ^{3} m ^{4}}{v ^{3}} = \frac{v}{v ^{3}}

Divide the numbers

m^{4} = \frac{v}{v ^{3}}

Divide the numbers

More Steps

m^{4} = \frac{1}{v ^{2}}

Take the root of both sides of the equation and remember to use both positive and negative roots

m = \pm 4 \frac{1}{v ^{2}}

Simplify the expression

More Steps

m = \pm \frac{∣ v ∣}{∣ v ∣}

Separate the equation into 2 possible cases

m = \frac{∣ v ∣}{∣ v ∣} m = - \frac{∣ v ∣}{∣ v ∣}

Calculate

{m = - \frac{∣ v ∣}{∣ v ∣} v \neq = 0 {m = \frac{∣ v ∣}{∣ v ∣} v \neq = 0

Solution

m = - \frac{∣ v ∣}{∣ v ∣}, v \neq = 0 m = \frac{∣ v ∣}{∣ v ∣}, v \neq = 0

Solve the equation