Solve 36^-2p x^216^2p^3 = 1

Evaluate

3 6^{- 2} p x^{2} \times 1 6^{2} p^{3} = 1

Multiply

More Steps

\frac{4 ^{2} p ^{4} x ^{2}}{9 ^{2}} = 1

Cross multiply

4^{2} p^{4} x^{2} = 9^{2}

Divide both sides

\frac{4 ^{2} p ^{4} x ^{2}}{4 ^{2} p ^{4}} = \frac{9 ^{2}}{4 ^{2} p ^{4}}

Divide the numbers

x^{2} = \frac{9 ^{2}}{4 ^{2} p ^{4}}

Divide the numbers

x^{2} = \frac{9 ^{2}}{16 p ^{4}}

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

x = \pm \frac{9 ^{2}}{16 p ^{4}}

Simplify the expression

More Steps

x = \pm \frac{3 ^{2}}{4 p ^{2}}

Separate the equation into 2 possible cases

x = \frac{3 ^{2}}{4 p ^{2}} x = - \frac{3 ^{2}}{4 p ^{2}}

Calculate

x = \frac{9}{4 p ^{2}} x = - \frac{3 ^{2}}{4 p ^{2}}

Solution

x = \frac{9}{4 p ^{2}} x = - \frac{9}{4 p ^{2}}

Solve the equation