# Divide x to the 3 fourths power divided by x to the 1 sixth power.

We may make use of various exponential formulas to solve the problem.

## Answer: The quotient of x to the 3 fourths power divided by x to the 1 sixth power is x^{7/12}.

Go through the explanation to understand better.

**Explanation:**

Laws of exponents formula:

There are various exponents formulas, that can be used in any algebraic expression, mostly in reducing the expression to a lower degree expression. Some of the useful exponent's formulas are given below:

x^{n }/ x^{m} = x^{(n - m)}

x^{n }× x^{m }= x^{(n + m)}

(x^{y})^{z} = x^{(y×z)}

x^{-n} = 1 / x^{n}

To divide x to the 3 fourths power divided by x to the 1 sixth power

x^{3/4} / x^{1/6}

Using the above mentioned exponential properties and formulas,

⇒ x^{n }/ x^{m} = x^{(n - m)}

⇒ x^{3/4} / x^{1/6 }= x^{(3/4 - 1/6)}

⇒ x^{7/12}