Pre-Algebra Examples

Solve for r f(r^4)=(13x)/(11|x|)
Step 1
Divide each term in by and simplify.
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Step 1.1
Divide each term in by .
Step 1.2
Simplify the left side.
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Step 1.2.1
Cancel the common factor of .
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Step 1.2.1.1
Cancel the common factor.
Step 1.2.1.2
Divide by .
Step 1.3
Simplify the right side.
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Step 1.3.1
Multiply the numerator by the reciprocal of the denominator.
Step 1.3.2
Multiply by .
Step 1.3.3
Reorder factors in .
Step 2
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 3
Simplify .
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Step 3.1
Rewrite as .
Step 3.2
Multiply by .
Step 3.3
Combine and simplify the denominator.
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Step 3.3.1
Multiply by .
Step 3.3.2
Raise to the power of .
Step 3.3.3
Use the power rule to combine exponents.
Step 3.3.4
Add and .
Step 3.3.5
Rewrite as .
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Step 3.3.5.1
Use to rewrite as .
Step 3.3.5.2
Apply the power rule and multiply exponents, .
Step 3.3.5.3
Combine and .
Step 3.3.5.4
Cancel the common factor of .
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Step 3.3.5.4.1
Cancel the common factor.
Step 3.3.5.4.2
Rewrite the expression.
Step 3.3.5.5
Simplify.
Step 3.4
Simplify the numerator.
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Step 3.4.1
Rewrite as .
Step 3.4.2
Apply the product rule to .
Step 3.4.3
Apply the product rule to .
Step 3.4.4
Raise to the power of .
Step 3.5
Simplify the numerator.
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Step 3.5.1
Combine using the product rule for radicals.
Step 3.5.2
Multiply by .
Step 3.6
Simplify the numerator.
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Step 3.6.1
Combine and simplify the denominator.
Step 3.6.2
Multiply by .
Step 3.6.3
Remove unnecessary parentheses.
Step 4
The complete solution is the result of both the positive and negative portions of the solution.
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Step 4.1
First, use the positive value of the to find the first solution.
Step 4.2
Next, use the negative value of the to find the second solution.
Step 4.3
The complete solution is the result of both the positive and negative portions of the solution.