Algebra Examples

Simplify the Radical Expression ( cube root of x^3)/( fifth root of x^2)
Step 1
Pull terms out from under the radical.
Step 2
Multiply by .
Step 3
Combine and simplify the denominator.
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Step 3.1
Multiply by .
Step 3.2
Raise to the power of .
Step 3.3
Use the power rule to combine exponents.
Step 3.4
Add and .
Step 3.5
Rewrite as .
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Step 3.5.1
Use to rewrite as .
Step 3.5.2
Apply the power rule and multiply exponents, .
Step 3.5.3
Combine and .
Step 3.5.4
Multiply by .
Step 3.5.5
Cancel the common factor of and .
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Step 3.5.5.1
Factor out of .
Step 3.5.5.2
Cancel the common factors.
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Step 3.5.5.2.1
Factor out of .
Step 3.5.5.2.2
Cancel the common factor.
Step 3.5.5.2.3
Rewrite the expression.
Step 3.5.5.2.4
Divide by .
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.
Step 5
Simplify the numerator.
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Step 5.1
Rewrite as .
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 5.3
Factor out .
Step 5.4
Pull terms out from under the radical.
Step 6
Cancel the common factor of .
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Step 6.1
Cancel the common factor.
Step 6.2
Divide by .