Question

Simplify each expression. Assume that no denominator equals 0.

$\frac{\mathbf{2}\mathbf{x}{\mathbf{y}}^{\mathbf{0}}}{\mathbf{6}\mathbf{x}}$

Short answer

The required expression is represented by$\frac{\mathbf{1}}{\mathbf{3}}$

Step-by-step solution

Step 1. Rewrite the provided expression.

Take the help of the identity represented by $\frac{a^m}{a^p}=a^{m-p}$.

$\frac{2}{6}{x}^{1-1}{y}^0$

Step 2. Simplify the exponential terms and the whole expression.

Perform subtraction between the exponents and simplify the numerical terms.

$\frac{2}{6}{x}^0{y}^0=\frac{1}{3}$

Step 3. Write the conclusion.

The obtained expression is$\frac{1}{3}$ which cannot be simplified further so it’s the required simplification.