Simplify ( sixth root of x^7z^-2)^5

Math
Rewrite the expression using the negative exponent rule .
Combine and .
Rewrite as .
Simplify the numerator.
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Factor out .
Pull terms out from under the radical.
Simplify the denominator.
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Multiply by .
Combine and simplify the denominator.
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Multiply and .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify.
Simplify the numerator.
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Rewrite as .
Combine exponents.
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Rewrite the expression using the least common index of .
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Use to rewrite as .
Rewrite as .
Rewrite as .
Combine using the product rule for radicals.
Use the power rule to distribute the exponent.
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Apply the product rule to .
Apply the product rule to .
Simplify the numerator.
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Rewrite as .
Apply the product rule to .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Rewrite as .
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Factor out .
Rewrite as .
Add parentheses.
Pull terms out from under the radical.
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify ( sixth root of x^7z^-2)^5


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