Question

When 27 times x squared times z all over negative 3 times x squared times z to the fourth power is completely simplified, the exponent on the variable z is _____.
Numerical Answers Expected!


I have attached a picture of the problem so it's easier to read.

Answer 1

Answer:

The exponent on the variable z is (-3).

Step-by-step explanation:

Exponent: A quantity representing a power upto which a number of expression is raised often written in superscript of number or an expression..

Given expression:

$\frac{27x^2z}{-3x^2z^4}$

Using identity : $\frac{a^m}{a^n}=a^{n-m}$

$=\frac{27(x)^{2-2}(z)^{1-4}}{-3}=-9x^0z^{-3}$

The exponent on the variable z is (-3).

Answer 2

Isolate z by itself:

$\frac{z}{z^4}$

To simplify variables with powers, subtract the smaller power from the bigger power:

$4 - 1 = 3$
$\frac{z}{z^4} = \frac{1}{z^3} = z^{-3}$

The exponent will be -3.