The value of the exponent function [tex]$(-243)^{-0.8}$[/tex] is 0.01234.
How to simplify exponent functions?
Exponents of numbers exist added when the numbers exist multiplied, subtracted when the numbers exist divided, and multiplied when presented by even another exponent:
[tex]$a^{m} \times a^{n}=a^{m+n} ; a^{m} \div a^{n}=a^{m-n} ;\left(a^{m}\right)^{n}=a^{m n}$[/tex]
[tex]$(-243)^{-0.8}$[/tex]
By using the exponent rule:
[tex]$\quad a^{-b}=\frac{1}{a^{b}}$[/tex]
Simplifying the equation by exponent rule, we get
[tex]$(-243)^{-0.8}$[/tex]
[tex]${data-answer}amp;=\frac{1}{(-243)^{0.8}} \\[/tex]
[tex]${data-answer}amp;(-243)^{0.8}=81 \\[/tex]
= 1/81
Divide the numbers:
[tex]$\frac{1}{81}=0.01234\dots$[/tex]
= 0.01234 .........
Therefore, the value of the exponent function [tex]$(-243)^{-0.8}$[/tex] is 0.01234.
To learn more about the exponent rule
https://brainly.com/question/2456547
#SPJ2
