Simplify (2c^3d^2)^5((c^6d^8)/(4c^2d))^3

Math
Use the power rule to distribute the exponent.
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Apply the product rule to .
Apply the product rule to .
Simplify the expression.
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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 .
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.
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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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 .
Simplify terms.
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Raise to the power of .
Cancel the common factor of .
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Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
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 .
Simplify (2c^3d^2)^5((c^6d^8)/(4c^2d))^3

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