Solve (2x^4)^3=(2^3)(4^3)

Evaluate

(2 x^{4})^{3} = 2^{3} \times 4^{3}

Evaluate the power

More Steps

8 x^{12} = 2^{3} \times 4^{3}

Multiply the numbers

More Steps

8 x^{12} = 2^{9}

Divide both sides

\frac{8 x ^{12}}{8} = \frac{2 ^{9}}{8}

Divide the numbers

x^{12} = \frac{2 ^{9}}{8}

Divide the numbers

More Steps

x^{12} = 2^{6}

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

x = \pm 12 2^{6}

Simplify the expression

x = \pm 2

Separate the equation into 2 possible cases

x = 2 x = - 2

Solution

x_{1} = - 2, x_{2} = 2

Alternative Form

x_{1} \approx - 1.414214, x_{2} \approx 1.414214

Solve the equation