Basic Math Examples

Simplify (-u^2v^-1)^4*(-uv^4)
Step 1
Rewrite using the commutative property of multiplication.
Step 2
Rewrite the expression using the negative exponent rule .
Step 3
Combine and .
Step 4
Use the power rule to distribute the exponent.
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Step 4.1
Apply the product rule to .
Step 4.2
Apply the product rule to .
Step 5
Multiply by by adding the exponents.
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Step 5.1
Move .
Step 5.2
Multiply by .
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Step 5.2.1
Raise to the power of .
Step 5.2.2
Use the power rule to combine exponents.
Step 5.3
Add and .
Step 6
Raise to the power of .
Step 7
Multiply the exponents in .
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Step 7.1
Apply the power rule and multiply exponents, .
Step 7.2
Multiply by .
Step 8
Multiply .
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Step 8.1
Combine and .
Step 8.2
Multiply by by adding the exponents.
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Step 8.2.1
Multiply by .
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Step 8.2.1.1
Raise to the power of .
Step 8.2.1.2
Use the power rule to combine exponents.
Step 8.2.2
Add and .
Step 9
Cancel the common factor of .
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Step 9.1
Move the leading negative in into the numerator.
Step 9.2
Cancel the common factor.
Step 9.3
Rewrite the expression.