Calculus Examples

Simplify 2/( fifth root of x^3)
Step 1
Multiply by .
Step 2
Combine and simplify the denominator.
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Step 2.1
Multiply by .
Step 2.2
Raise to the power of .
Step 2.3
Use the power rule to combine exponents.
Step 2.4
Add and .
Step 2.5
Rewrite as .
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Step 2.5.1
Use to rewrite as .
Step 2.5.2
Apply the power rule and multiply exponents, .
Step 2.5.3
Combine and .
Step 2.5.4
Multiply by .
Step 2.5.5
Cancel the common factor of and .
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Step 2.5.5.1
Factor out of .
Step 2.5.5.2
Cancel the common factors.
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Step 2.5.5.2.1
Factor out of .
Step 2.5.5.2.2
Cancel the common factor.
Step 2.5.5.2.3
Rewrite the expression.
Step 2.5.5.2.4
Divide by .
Step 3
Simplify the numerator.
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Step 3.1
Rewrite as .
Step 3.2
Multiply the exponents in .
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Step 3.2.1
Apply the power rule and multiply exponents, .
Step 3.2.2
Multiply by .
Step 3.3
Rewrite as .
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Step 3.3.1
Factor out .
Step 3.3.2
Rewrite as .
Step 3.4
Pull terms out from under the radical.
Step 4
Cancel the common factor of and .
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Step 4.1
Factor out of .
Step 4.2
Cancel the common factors.
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Step 4.2.1
Factor out of .
Step 4.2.2
Cancel the common factor.
Step 4.2.3
Rewrite the expression.