Trigonometry Examples

Simplify (27x^17y^18)/((x^5y^6)^(1/3))
Step 1
Simplify the denominator.
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Step 1.1
Apply the product rule to .
Step 1.2
Multiply the exponents in .
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Step 1.2.1
Apply the power rule and multiply exponents, .
Step 1.2.2
Combine and .
Step 1.3
Multiply the exponents in .
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Step 1.3.1
Apply the power rule and multiply exponents, .
Step 1.3.2
Cancel the common factor of .
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Step 1.3.2.1
Factor out of .
Step 1.3.2.2
Cancel the common factor.
Step 1.3.2.3
Rewrite the expression.
Step 2
Move to the numerator using the negative exponent rule .
Step 3
Multiply by by adding the exponents.
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Step 3.1
Move .
Step 3.2
Use the power rule to combine exponents.
Step 3.3
To write as a fraction with a common denominator, multiply by .
Step 3.4
Combine and .
Step 3.5
Combine the numerators over the common denominator.
Step 3.6
Simplify the numerator.
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Step 3.6.1
Multiply by .
Step 3.6.2
Add and .
Step 4
Factor out of .
Step 5
Cancel the common factors.
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Step 5.1
Multiply by .
Step 5.2
Cancel the common factor.
Step 5.3
Rewrite the expression.
Step 5.4
Divide by .
Step 6
Reorder factors in .