Question
\frac{x^{2}\cdot x^{-2}}{x^{8}}
Answers
Answered by
GPT 3.5
To simplify the expression $\frac{x^{2}\cdot x^{-2}}{x^{8}}$, we can combine the exponents of $x$:
$x^{2}\cdot x^{-2} = x^{2+(-2)} = x^{0}$
Any non-zero number raised to the power of $0$ is $1$, so $x^0 = 1$. Therefore, the expression simplifies to:
$\frac{x^{2}\cdot x^{-2}}{x^{8}} = \frac{1}{x^8}$
$x^{2}\cdot x^{-2} = x^{2+(-2)} = x^{0}$
Any non-zero number raised to the power of $0$ is $1$, so $x^0 = 1$. Therefore, the expression simplifies to:
$\frac{x^{2}\cdot x^{-2}}{x^{8}} = \frac{1}{x^8}$