Rewrite the equation as .

Use the power rule to combine exponents.

To write as a fraction with a common denominator, multiply by .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Multiply and .

Multiply by .

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

Add and .

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

Set up the rational expression with the same denominator over the entire equation.

Multiply each term by a factor of that will equate all the denominators. In this case, all terms need a denominator of . The expression needs to be multiplied by to make the denominator . The expression needs to be multiplied by to make the denominator .

Multiply the expression by a factor of to create the least common denominator (LCD) of .

Move to the left of .

Multiply the expression by a factor of to create the least common denominator (LCD) of .

Multiply by .

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

Rewrite the equation as .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

To rewrite as a function of , write the equation so that is by itself on one side of the equal sign and an expression involving only is on the other side.

Write as a Function of x 6^(1/3)*6^(1/4)=6^(x/y)