Solve by Factoring (x+6)^(3/5)=8

Math
Move to the left side of the equation by subtracting it from both sides.
Rewrite as .
Rewrite as .
Since both terms are perfect cubes, factor using the difference of cubes formula, where and .
Simplify.
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Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Combine and .
Move to the left of .
Raise to the power of .
Reorder terms.
Simplify .
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Expand by multiplying each term in the first expression by each term in the second expression.
Simplify terms.
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Simplify each term.
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Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Combine the numerators over the common denominator.
Add and .
Multiply by by adding the exponents.
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Use the power rule to combine exponents.
Combine the numerators over the common denominator.
Add and .
Move to the left of .
Multiply by .
Multiply by .
Combine the opposite terms in .
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Subtract from .
Add and .
Subtract from .
Add and .
Add to both sides of the equation.
Raise each side of the equation to the power to eliminate the fractional exponent on the left side.
Solve the equation for .
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Simplify .
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Simplify the expression.
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Rewrite as .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Raise to the power of .
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Solve by Factoring (x+6)^(3/5)=8

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