What is the answer to (y^{3/2})/(27)=1 ?

The answer to (y^{3/2})/(27)=1 is y=9

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(y^{3/2})/(27)=1

\frac{y ^{\frac{3}{2}}}{27} = 1

y = 9

Solution steps

\frac{y ^{\frac{3}{2}}}{27} = 1

Multiply both sides by

27

\frac{y ^{\frac{3}{2}}}{27} \cdot 27 = 1 \cdot 27

Simplify

y^{\frac{3}{2}} = 27

Take both sides of the equation to the power of

2 : y^{3} = 729

y^{3} = 729

Solve

y^{3} = 729 : y = 9

y = 9

Verify Solutions:

y = 9

True

The solution is

y = 9

x - 1 = 19 x + 1

3 y + 4 - y + 9 = 1

(x - 27)^{\frac{3}{2}} = 64

x - 5 = x^{2} - 6

x = \frac{4}{100} \cdot x