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HACTEHA [7]
3 years ago
14

When 27 times x squared times z all over negative 3 times x squared times z to the fourth power is completely simplified, the ex

ponent on the variable z is _____.
Numerical Answers Expected!


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

Mathematics
2 answers:
Olin [163]3 years ago
5 0

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).

snow_lady [41]3 years ago
4 0
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.
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inna [77]
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Thus, we have:

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thus : 

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