Solve for y fourth root of y+5+9=0

Math
y+54+9=0
Subtract 9 from both sides of the equation.
y+54=-9
To remove the radical on the left side of the equation, raise both sides of the equation to the power of 4.
y+544=(-9)4
Simplify each side of the equation.
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Multiply the exponents in ((y+5)14)4.
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Apply the power rule and multiply exponents, (am)n=amn.
(y+5)14⋅4=(-9)4
Cancel the common factor of 4.
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Cancel the common factor.
(y+5)14⋅4=(-9)4
Rewrite the expression.
(y+5)1=(-9)4
(y+5)1=(-9)4
(y+5)1=(-9)4
Simplify.
y+5=(-9)4
Raise -9 to the power of 4.
y+5=6561
y+5=6561
Move all terms not containing y to the right side of the equation.
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Subtract 5 from both sides of the equation.
y=6561-5
Subtract 5 from 6561.
y=6556
y=6556
Exclude the solutions that do not make y+54+9=0 true.
No solution
Solve for y fourth root of y+5+9=0

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