Simplify -u^2v^3*(-u^5v^-5)^4

Math
Rewrite the expression using the negative exponent rule .
Combine and .
Use the power rule to distribute the exponent.
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Apply the product rule to .
Apply the product rule to .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Apply basic rules of exponents.
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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 .
Cancel the common factor of .
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Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
Combine and .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Raise to the power of .
Move to the left of .
Move the negative in front of the fraction.
Simplify -u^2v^3*(-u^5v^-5)^4
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