Simplify (3a)/( fifth root of 8a^7b^13)

Math
Simplify the denominator.
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Rewrite as .
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Factor out .
Factor out .
Rewrite as .
Move .
Move .
Rewrite as .
Add parentheses.
Add parentheses.
Pull terms out from under the radical.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Multiply by .
Combine and simplify the denominator.
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Multiply and .
Move .
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.
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Simplify the numerator.
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Rewrite as .
Apply the product rule to .
Apply the product rule to .
Raise to the power of .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
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 of .
Rewrite as .
Factor out .
Factor out .
Rewrite as .
Move .
Move .
Rewrite as .
Add parentheses.
Add parentheses.
Pull terms out from under the radical.
Multiply by .
Reduce the expression by cancelling the common factors.
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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.
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.
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.
Move to the left of .
Simplify (3a)/( fifth root of 8a^7b^13)


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