Question

Simplify the expression $y^{3\sqrt{3}}÷y^{\sqrt{3}}$.

Short answer

The simplified value of expression is $y^{2\sqrt{3}}$.

Step-by-step solution

Step 1. Write down the given expression.

The given expression is $y^{3\sqrt{3}}÷y^{\sqrt{3}}$.

Step 2. Simplify the expression.

The given expression $y^{3\sqrt{3}}÷y^{\sqrt{3}}$is simplified as:

$\begin{array}{l}{y}^{3\sqrt{3}}÷y^{\sqrt{3}}=\frac{y^{3\sqrt{3}}}{y^{\sqrt{3}}}\\ ={\left(y\right)}^{3\sqrt{3}-\sqrt{3}}\\ =y^{2\sqrt{3}}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $y^{2\sqrt{3}}$.