Solve b= a^2 b^2 c^2 d^2 e^2

Evaluate

b = a^{2} b^{2} c^{2} d^{2} e^{2}

Use the commutative property to reorder the terms

b = e^{2} a^{2} b^{2} c^{2} d^{2}

Rewrite the expression

b = e^{2} b^{2} c^{2} d^{2} a^{2}

Swap the sides of the equation

e^{2} b^{2} c^{2} d^{2} a^{2} = b

Divide both sides

\frac{e ^{2} b ^{2} c ^{2} d ^{2} a ^{2}}{e ^{2} b ^{2} c ^{2} d ^{2}} = \frac{b}{e ^{2} b ^{2} c ^{2} d ^{2}}

Divide the numbers

a^{2} = \frac{b}{e ^{2} b ^{2} c ^{2} d ^{2}}

Divide the numbers

More Steps

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

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

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

Simplify the expression

More Steps

a = \pm \frac{b}{e ∣ c d ∣ ∣ b ∣}

Separate the equation into 2 possible cases

a = \frac{b}{e ∣ c d ∣ ∣ b ∣} a = - \frac{b}{e ∣ c d ∣ ∣ b ∣}

Multiply the terms

a = \frac{b}{e ∣ c d b ∣} a = - \frac{b}{e ∣ c d ∣ ∣ b ∣}

Solution

a = \frac{b}{e ∣ c d b ∣} a = - \frac{b}{e ∣ c d b ∣}

Solve the equation