Solve (a b)(b c)(c a)=1

Evaluate

ab \times b c \times c a = 1

Multiply

More Steps

a^{2} b^{2} c^{2} = 1

Rewrite the expression

b^{2} c^{2} a^{2} = 1

Divide both sides

\frac{b ^{2} c ^{2} a ^{2}}{b ^{2} c ^{2}} = \frac{1}{b ^{2} c ^{2}}

Divide the numbers

a^{2} = \frac{1}{b ^{2} c ^{2}}

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

a = \pm \frac{1}{b ^{2} c ^{2}}

Simplify the expression

More Steps

a = \pm \frac{1}{∣ b c ∣}

Solution

a = \frac{1}{∣ b c ∣} a = - \frac{1}{∣ b c ∣}

Solve the equation