Solve (x^6)^2 - 16 = 0

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Type your math problem... (x^6)^2 - 16 = 0

Question

Solve the equation

x_{1} = - 32, x_{2} = 32

Alternative Form

x_{1} \approx - 1.259921, x_{2} \approx 1.259921

Evaluate

(x^{6})^{2} - 16 = 0

Simplify

More Steps

Evaluate

(x^{6})^{2} - 16

Multiply the exponents

x^{6 \times 2} - 16

Multiply the numbers

x^{12} - 16

x^{12} - 16 = 0

Move the constant to the right-hand side and change its sign

x^{12} = 0 + 16

Removing 0 doesn't change the value,so remove it from the expression

x^{12} = 16

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

x = \pm 1216

Simplify the expression

More Steps

Evaluate

1216

Write the number in exponential form with the base of 2

12 2^{4}

Reduce the index of the radical and exponent with 4

32

x = \pm 32

Separate the equation into 2 possible cases

x = 32 x = - 32

Solution

x_{1} = - 32, x_{2} = 32

Alternative Form

x_{1} \approx - 1.259921, x_{2} \approx 1.259921

Show Solution

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