Basic Math Examples

Multiply (u^2w^-1)((u^-4v)/(2w^-2))^3
Step 1
Rewrite the expression using the negative exponent rule .
Step 2
Combine and .
Step 3
Simplify.
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Step 3.1
Move to the denominator using the negative exponent rule .
Step 3.2
Move to the numerator using the negative exponent rule .
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 4.3
Apply the product rule to .
Step 5
Combine fractions.
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Step 5.1
Combine.
Step 5.2
Multiply the exponents in .
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Step 5.2.1
Apply the power rule and multiply exponents, .
Step 5.2.2
Multiply by .
Step 6
Simplify the denominator.
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Step 6.1
Raise to the power of .
Step 6.2
Multiply the exponents in .
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Step 6.2.1
Apply the power rule and multiply exponents, .
Step 6.2.2
Multiply by .
Step 7
Reduce the expression by cancelling the common factors.
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Step 7.1
Cancel the common factor of and .
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Step 7.1.1
Factor out of .
Step 7.1.2
Cancel the common factors.
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Step 7.1.2.1
Factor out of .
Step 7.1.2.2
Cancel the common factor.
Step 7.1.2.3
Rewrite the expression.
Step 7.2
Cancel the common factor of and .
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Step 7.2.1
Factor out of .
Step 7.2.2
Cancel the common factors.
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Step 7.2.2.1
Factor out of .
Step 7.2.2.2
Cancel the common factor.
Step 7.2.2.3
Rewrite the expression.