Solve for z (z+1)^(3/2)-2=25

Math
(z+1)32-2=25
Move all terms not containing z to the right side of the equation.
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Add 2 to both sides of the equation.
(z+1)32=25+2
Add 25 and 2.
(z+1)32=27
(z+1)32=27
Raise each side of the equation to the 23 power to eliminate the fractional exponent on the left side.
((z+1)32)23=(27)23
Solve the equation for z.
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Simplify (27)23.
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Simplify the expression.
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Rewrite 27 as 33.
z+1=(33)23
Apply the power rule and multiply exponents, (am)n=amn.
z+1=33(23)
z+1=33(23)
Cancel the common factor of 3.
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Cancel the common factor.
z+1=33(23)
Rewrite the expression.
z+1=32
z+1=32
Raise 3 to the power of 2.
z+1=9
z+1=9
Move all terms not containing z to the right side of the equation.
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Subtract 1 from both sides of the equation.
z=9-1
Subtract 1 from 9.
z=8
z=8
z=8
Solve for z (z+1)^(3/2)-2=25

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