Solve for a (3/5*((ab)^3b^3a^-5))/(3b^-3a^2)=1/5*(b^9a^-4)

Math
Factor each term.
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Remove unnecessary parentheses.
Factor.
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Apply the product rule to .
Remove unnecessary parentheses.
Combine exponents.
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Combine and .
Combine and .
Combine and .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Combine and .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Move to the numerator using the negative exponent rule .
Simplify the numerator.
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Rewrite the expression using the negative exponent rule .
Combine exponents.
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Combine and .
Combine and .
Combine and .
Combine and .
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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Multiply the numerator by the reciprocal of the denominator.
Multiply and .
Move to the left of .
Multiply by .
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
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Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Remove parentheses.
Combine and .
Combine and .
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
Rewrite the equation as .
Divide each term by and simplify.
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Divide each term in by .
Simplify .
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Move to the denominator using the negative exponent rule .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Solve for .
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Multiply each term by and simplify.
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Multiply each term in by .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Multiply by .
Rewrite the equation as .
Take the 4th root of both sides of the equation to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
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Any root of is .
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
Solve for a (3/5*((ab)^3b^3a^-5))/(3b^-3a^2)=1/5*(b^9a^-4)

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