Pre-Algebra Examples

Simplify fourth root of (5x)/(8y)
Step 1
Rewrite as .
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
Cancel the common factor of .
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Step 3.5.4.1
Cancel the common factor.
Step 3.5.4.2
Rewrite the expression.
Step 3.5.5
Simplify.
Step 4
Simplify the numerator.
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Step 4.1
Rewrite as .
Step 4.2
Apply the product rule to .
Step 4.3
Raise to the power of .
Step 4.4
Rewrite as .
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Step 4.4.1
Factor out of .
Step 4.4.2
Rewrite as .
Step 4.4.3
Add parentheses.
Step 4.5
Pull terms out from under the radical.
Step 4.6
Combine exponents.
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Step 4.6.1
Combine using the product rule for radicals.
Step 4.6.2
Multiply by .
Step 5
Cancel the common factor of and .
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Step 5.1
Factor out of .
Step 5.2
Cancel the common factors.
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Step 5.2.1
Factor out of .
Step 5.2.2
Cancel the common factor.
Step 5.2.3
Rewrite the expression.