What is the answer to x^{2/3}-1/16 =0 ?

The answer to x^{2/3}-1/16 =0 is x= 1/64 ,x=-1/64

Solve for x: x^{2/3}-1/16 =0

The solution is x= 1/64 ,x=-1/64

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x^{\frac{2}{3}} - \frac{1}{16} = 0

x = \frac{1}{64}, x = - \frac{1}{64}

Decimal Notation

x = 0.015625, x = - 0.015625

Solution steps

x^{\frac{2}{3}} - \frac{1}{16} = 0

Multiply both sides by

16

x^{\frac{2}{3}} \cdot 16 - \frac{1}{16} \cdot 16 = 0 \cdot 16

Simplify

16 x^{\frac{2}{3}} - 1 = 0

Move

1

to the right side

16 x^{\frac{2}{3}} = 1

Divide both sides by

16

x^{\frac{2}{3}} = \frac{1}{16}

Take both sides of the equation to the power of

3 : x^{2} = \frac{1}{4096}

x^{2} = \frac{1}{4096}

Solve

x^{2} = \frac{1}{4096} : x = \frac{1}{64}, x = - \frac{1}{64}

x = \frac{1}{64}, x = - \frac{1}{64}

Verify Solutions:

x = \frac{1}{64}

True

, x = - \frac{1}{64}

True

The solutions are

x = \frac{1}{64}, x = - \frac{1}{64}

x + 4 = 4

x + 4 = 2

5 x + 1 = 2

5 x + 1 = 0

What is the answer to x^{2/3}-1/16 =0 ?
The answer to x^{2/3}-1/16 =0 is x= 1/64 ,x=-1/64
Solve for x: x^{2/3}-1/16 =0
The solution is x= 1/64 ,x=-1/64