Pre-Algebra Examples

Divide ( seventh root of x^4)/( eighth root of x)
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
Cancel the common factor of .
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Step 2.5.4.1
Cancel the common factor.
Step 2.5.4.2
Rewrite the expression.
Step 2.5.5
Simplify.
Step 3
Rewrite as .
Step 4
Simplify the numerator.
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Step 4.1
Rewrite the expression using the least common index of .
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Step 4.1.1
Use to rewrite as .
Step 4.1.2
Rewrite as .
Step 4.1.3
Rewrite as .
Step 4.1.4
Use to rewrite as .
Step 4.1.5
Rewrite as .
Step 4.1.6
Rewrite as .
Step 4.2
Combine using the product rule for radicals.
Step 4.3
Multiply by by adding the exponents.
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Step 4.3.1
Use the power rule to combine exponents.
Step 4.3.2
Add and .
Step 5
Simplify the numerator.
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Step 5.1
Factor out .
Step 5.2
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 .