Question

Express the following in positive exponents only :

$\frac{x^{-2}\times y^{-4}\times z^{-3}}{xyz}$

Answer 1

Given that , $\frac{x^{-2}\times y^{-4}\times z^{-3}}{xyz}$

$=\frac{1}{x\times y\times z\times x^2\times y^4\times z^3}$ [ Using exponent laws : $a^{-n}=\frac{1}{a^n}$ and $a^n\times a^m=a^{n+m}$ ]

$=\frac{1}{x^3{y}^5{z}^4}$

Hence , the required expression is $\frac{1}{x^3{y}^5{z}^4}$ .