Question

Simplify each expression using the properties for exponents. Answer with positive exponents only.

Answer 1

Answer:

To simplify the given expression using the properties for exponents.

$(-\frac{2}{z})^{-1}$

From the definition,

An exponent of a number, represents the number of times the number is multiplied to itself.

$\frac{1}{a^n}=a^{-n}$

we have thw property of exponent as,

$(\frac{a}{b})^n=(\frac{b}{a})^{-n}$

Using this property we get,

$(-\frac{2}{z})^{-1}=(-\frac{z}{2})^1$

Answer is:

$(-\frac{z}{2})^1$