Pre-Algebra Examples

Divide ( cube root of x)/( cube root of 9y)
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
Simplify the numerator.
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Step 3.1
Rewrite as .
Step 3.2
Apply the product rule to .
Step 3.3
Raise to the power of .
Step 3.4
Rewrite as .
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Step 3.4.1
Factor out of .
Step 3.4.2
Rewrite as .
Step 3.4.3
Add parentheses.
Step 3.5
Pull terms out from under the radical.
Step 3.6
Combine using the product rule for radicals.
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
Reorder factors in .