Solve l1l^2 m1m^2 n1n^2=1

Evaluate

l \times 1 \times l^{2} m \times 1 \times m^{2} n \times 1 \times n^{2} = 1

Multiply the terms

More Steps

l^{3} m^{3} n^{3} = 1

Rewrite the expression

m^{3} n^{3} l^{3} = 1

Divide both sides

\frac{m ^{3} n ^{3} l ^{3}}{m ^{3} n ^{3}} = \frac{1}{m ^{3} n ^{3}}

Divide the numbers

l^{3} = \frac{1}{m ^{3} n ^{3}}

Take the 3 -th root on both sides of the equation

3 l^{3} = 3 \frac{1}{m ^{3} n ^{3}}

Calculate

l = 3 \frac{1}{m ^{3} n ^{3}}

Solution

More Steps

l = \frac{1}{mn}

Solve the equation