What is the answer to y^{2/3}-1/36 =0 ?

The answer to y^{2/3}-1/36 =0 is y= 1/216 ,y=-1/216

Solve for y: y^{2/3}-1/36 =0

The solution is y= 1/216 ,y=-1/216

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y^{\frac{2}{3}} - \frac{1}{36} = 0

y = \frac{1}{216}, y = - \frac{1}{216}

Decimal Notation

y = 0.00462 \dots, y = - 0.00462 \dots

Solution steps

y^{\frac{2}{3}} - \frac{1}{36} = 0

Multiply both sides by

36

y^{\frac{2}{3}} \cdot 36 - \frac{1}{36} \cdot 36 = 0 \cdot 36

Simplify

36 y^{\frac{2}{3}} - 1 = 0

Move

1

to the right side

36 y^{\frac{2}{3}} = 1

Divide both sides by

36

y^{\frac{2}{3}} = \frac{1}{36}

Take both sides of the equation to the power of

3 : y^{2} = \frac{1}{46656}

y^{2} = \frac{1}{46656}

Solve

y^{2} = \frac{1}{46656} : y = \frac{1}{216}, y = - \frac{1}{216}

y = \frac{1}{216}, y = - \frac{1}{216}

Verify Solutions:

y = \frac{1}{216}

True

, y = - \frac{1}{216}

True

The solutions are

y = \frac{1}{216}, y = - \frac{1}{216}

x, 6 + 3 x - 4 = 24

3 + - x^{2} + 4 = x^{2} 11

(2 x - 7)^{\frac{3}{4}} + 6 = 14

x + 5 - 2 = 5 - 2

3 + - x^{2} + 4 = x^{2} - 1

What is the answer to y^{2/3}-1/36 =0 ?
The answer to y^{2/3}-1/36 =0 is y= 1/216 ,y=-1/216
Solve for y: y^{2/3}-1/36 =0
The solution is y= 1/216 ,y=-1/216