Precalculus Examples

Simplify fifth root of x^3y^210 root of x^4y^16
Step 1
Rewrite as .
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Step 1.1
Factor out .
Step 1.2
Reorder and .
Step 1.3
Add parentheses.
Step 2
Pull terms out from under the radical.
Step 3
Rewrite as .
Step 4
Rewrite as .
Step 5
Pull terms out from under the radical, assuming positive real numbers.
Step 6
Multiply .
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Step 6.1
Combine using the product rule for radicals.
Step 6.2
Use the power rule to combine exponents.
Step 6.3
Add and .
Step 6.4
Multiply by by adding the exponents.
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Step 6.4.1
Move .
Step 6.4.2
Use the power rule to combine exponents.
Step 6.4.3
Add and .
Step 7
Rewrite as .
Step 8
Pull terms out from under the radical, assuming real numbers.
Step 9
Multiply by by adding the exponents.
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Step 9.1
Move .
Step 9.2
Multiply by .