Question

Write 2x/3x in simplest form

Answer 1

The answer is $\frac{2}{3}$

*Remember x=$x^1$

You are technically dividing in this, whenever you divide anything with exponents, you subtract them. $x^1-x^1=0$

Therefore, the x's would cancel out, leaving just $\frac{2}{3}$

Answer 2

$\dfrac{2X}{3x}=\dfrac{2}{3}\cdot\dfrac{x}{x}=\dfrac{2}{3}\cdot\dfrac{\not x^1}{\not x_1}=\dfrac{2}{3}\cdot1=\boxed{\dfrac{2}{3}}$