# Solve for b a÷b=b÷a

Rewrite the division as a fraction.
Rewrite the division as a fraction.
Subtract from both sides of the equation.
Find the LCD of the terms in the equation.
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Since contain both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part then find LCM for the variable part .
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
The number is not a prime number because it only has one positive factor, which is itself.
Not prime
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
The factor for is itself.
occurs time.
The factor for is itself.
occurs time.
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either term.
Multiply by .
Multiply each term by and simplify.
Multiply each term in by in order to remove all the denominators from the equation.
Simplify each term.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Cancel the common factor of .
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Multiply .
Multiply by .
Multiply by .
Solve the equation.
Subtract from both sides of the equation.
Multiply each term in by
Multiply each term in by .
Multiply .
Multiply by .
Multiply by .
Multiply .
Multiply by .
Multiply by .
Since the exponents are equal, the bases of the exponents on both sides of the equation must be equal.
Solve for .
Remove the absolute value term. This creates a on the right side of the equation because .
Set up the positive portion of the solution.
Set up the negative portion of the solution.
The solution to the equation includes both the positive and negative portions of the solution.
Solve for b a÷b=b÷a

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