Question

Simplify the given expression. Assume that no denominator equals zero.

$\frac{{\left(3x\right)}^0}{2a}$

Short answer

The final expression is $\frac{1}{2a}$.

Step-by-step solution

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

Step 2. Define the meaning of zero exponent.

Zero exponent means for any non-zero real number raised to the power of 0 is equal to 1.

Step 3. Simplify the expression 3x02a.

Use the property of zero exponent.

So,${\left(3x\right)}^0=1$

Assume that the denominator is not equal to zero.

So,$\frac{{\left(3x\right)}^0}{2a}=\frac{1}{2a}$

This is the final simplified expression.

Therefore the final expression is $\frac{1}{2a}$.