Solve (a b)^(2)=36

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Type your math problem... (a b)^(2)=36

Question

Solve the equation

Solve for a

Solve for b

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

Evaluate

(ab)^{2} = 36

To raise a product to a power,raise each factor to that power

a^{2} b^{2} = 36

Rewrite the expression

b^{2} a^{2} = 36

Divide both sides

\frac{b ^{2} a ^{2}}{b ^{2}} = \frac{36}{b ^{2}}

Divide the numbers

a^{2} = \frac{36}{b ^{2}}

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

a = \pm \frac{36}{b ^{2}}

Simplify the expression

More Steps

Evaluate

\frac{36}{b ^{2}}

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

\frac{36}{b ^{2}}

Simplify the radical expression

More Steps

Evaluate

36

Write the number in exponential form with the base of 6

6^{2}

Reduce the index of the radical and exponent with 2

6

\frac{6}{b ^{2}}

Simplify the radical expression

\frac{6}{∣ b ∣}

a = \pm \frac{6}{∣ b ∣}

Solution

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

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