Question

Express x^-1 y^-2/z^-3 with positive exponents.

Answer 1

$\frac{x {}^{ - 1}y {}^{ - 2} }{z {}^{ - 3} }$

if the upper number got power of negative it will go down and the down will go up

So that,

$\frac{z {}^{3} }{x {}^{1} {y}^{2} }$

power of 1 can no need to write

Answer 2

Negative exponents work like this:

$a^{-m} = \dfrac{1}{a^m}$

So, a number raised to a negative power simply means the multiplicative inverse of that number raised to the positive power.

So, in your case, you have

$\dfrac{x^{-1}y^{-2}}{z^{-3}} = \dfrac{\frac{1}{x}\frac{1}{y^2}}{\frac{1}{z^3}}$

We can rework this expression to get

$\dfrac{z^3}{xy^2}$