Which is the simplified form of (9c^-9)^-3
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the numerical expression:
(9c^-9)^-3
Determine the simplified form.
Solution:
We will apply the rules of exponent to the given numerical expression, since it involves calculation on its degree. The rules of exponent states that any number with a degree raised by another degree will have a final degree that is the product of two degrees. To simply understand this, here is an equation to represent.
(a^n)^n = a^(n)(n)
For the given case,
(9c^-9)^-3
-9 will be multiplied to negative 3, and since they are both negative, the answer will be positive. It is a common rule for multiplication and division of numbers that when the signs are the same, the value will become positive, hence if the signs are opposite, then the value will be negative.
=(9c^-9)^-3
= - 1 / 27c^(-9)(-3)
=- 1/ 27 c^27