Algebra Examples

Simplify cube root of (3x)/(7x^2)
Step 1
Reduce the expression by cancelling the common factors.
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Step 1.1
Factor out of .
Step 1.2
Factor out of .
Step 1.3
Cancel the common factor.
Step 1.4
Rewrite the expression.
Step 2
Rewrite as .
Step 3
Multiply by .
Step 4
Combine and simplify the denominator.
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Step 4.1
Multiply by .
Step 4.2
Raise to the power of .
Step 4.3
Use the power rule to combine exponents.
Step 4.4
Add and .
Step 4.5
Rewrite as .
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Step 4.5.1
Use to rewrite as .
Step 4.5.2
Apply the power rule and multiply exponents, .
Step 4.5.3
Combine and .
Step 4.5.4
Cancel the common factor of .
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Step 4.5.4.1
Cancel the common factor.
Step 4.5.4.2
Rewrite the expression.
Step 4.5.5
Simplify.
Step 5
Simplify the numerator.
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Step 5.1
Rewrite as .
Step 5.2
Apply the product rule to .
Step 5.3
Raise to the power of .
Step 6
Simplify the numerator.
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Step 6.1
Combine using the product rule for radicals.
Step 6.2
Multiply by .