Solve a^4 a^2b^2 b^4=12

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Type your math problem... a^4 a^2b^2 b^4=12

Question

Solve the equation

Solve for a

Solve for b

a = \frac{6 12}{∣ b ∣} a = - \frac{6 12}{∣ b ∣}

Evaluate

a^{4} \times a^{2} b^{2} \times b^{4} = 12

Multiply

More Steps

Evaluate

a^{4} \times a^{2} b^{2} \times b^{4}

Multiply the terms with the same base by adding their exponents

a^{4 + 2} b^{2} \times b^{4}

Add the numbers

a^{6} b^{2} \times b^{4}

Multiply the terms with the same base by adding their exponents

a^{6} b^{2 + 4}

Add the numbers

a^{6} b^{6}

a^{6} b^{6} = 12

Rewrite the expression

b^{6} a^{6} = 12

Divide both sides

\frac{b ^{6} a ^{6}}{b ^{6}} = \frac{12}{b ^{6}}

Divide the numbers

a^{6} = \frac{12}{b ^{6}}

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

a = \pm 6 \frac{12}{b ^{6}}

Simplify the expression

More Steps

Evaluate

6 \frac{12}{b ^{6}}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{6 12}{6 b ^{6}}

Simplify the radical expression

\frac{6 12}{∣ b ∣}

a = \pm \frac{6 12}{∣ b ∣}

Solution

a = \frac{6 12}{∣ b ∣} a = - \frac{6 12}{∣ b ∣}

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