Basic Math Examples

Simplify ((uv^-2)/(3w^-2))^3(u^3w^-1)
Step 1
Move to the denominator using the negative exponent rule .
Step 2
Move to the numerator using the negative exponent rule .
Step 3
Use the power rule to distribute the exponent.
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Step 3.1
Apply the product rule to .
Step 3.2
Apply the product rule to .
Step 3.3
Apply the product rule to .
Step 4
Multiply the exponents in .
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Step 4.1
Apply the power rule and multiply exponents, .
Step 4.2
Multiply by .
Step 5
Simplify the denominator.
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Step 5.1
Raise to the power of .
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
Rewrite the expression using the negative exponent rule .
Step 7
Combine and .
Step 8
Combine.
Step 9
Multiply by by adding the exponents.
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Step 9.1
Move .
Step 9.2
Use the power rule to combine exponents.
Step 9.3
Add and .
Step 10
Cancel the common factor of and .
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Step 10.1
Factor out of .
Step 10.2
Cancel the common factors.
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Step 10.2.1
Factor out of .
Step 10.2.2
Cancel the common factor.
Step 10.2.3
Rewrite the expression.