Finite Math Examples

Solve for y (x^2)/(y^(1/2))=n
Step 1
Find the LCD of the terms in the equation.
Tap for more steps...
Step 1.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 1.2
The LCM of one and any expression is the expression.
Step 2
Multiply each term in by to eliminate the fractions.
Tap for more steps...
Step 2.1
Multiply each term in by .
Step 2.2
Simplify the left side.
Tap for more steps...
Step 2.2.1
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Rewrite the expression.
Step 3
Solve the equation.
Tap for more steps...
Step 3.1
Rewrite the equation as .
Step 3.2
Divide each term in by and simplify.
Tap for more steps...
Step 3.2.1
Divide each term in by .
Step 3.2.2
Simplify the left side.
Tap for more steps...
Step 3.2.2.1
Cancel the common factor.
Step 3.2.2.2
Divide by .
Step 3.3
Raise each side of the equation to the power of to eliminate the fractional exponent on the left side.
Step 3.4
Simplify the exponent.
Tap for more steps...
Step 3.4.1
Simplify the left side.
Tap for more steps...
Step 3.4.1.1
Simplify .
Tap for more steps...
Step 3.4.1.1.1
Multiply the exponents in .
Tap for more steps...
Step 3.4.1.1.1.1
Apply the power rule and multiply exponents, .
Step 3.4.1.1.1.2
Cancel the common factor of .
Tap for more steps...
Step 3.4.1.1.1.2.1
Cancel the common factor.
Step 3.4.1.1.1.2.2
Rewrite the expression.
Step 3.4.1.1.2
Simplify.
Step 3.4.2
Simplify the right side.
Tap for more steps...
Step 3.4.2.1
Simplify .
Tap for more steps...
Step 3.4.2.1.1
Apply the product rule to .
Step 3.4.2.1.2
Multiply the exponents in .
Tap for more steps...
Step 3.4.2.1.2.1
Apply the power rule and multiply exponents, .
Step 3.4.2.1.2.2
Multiply by .