You can replace the symbols with their respective values given in the given expression.
The result of the evaluated expression for given values of the unknowns is 0
How to evaluate a given mathematical expression with variables if values of the variables are known?
You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
What are some basic properties of exponentiation?
If we have [tex]a^b[/tex], then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\: \: (a \neq 0) \\\\a^0 = 1, \: \: (a \neq 0)\\\\a^1 = 1\\\\(a^b)^c = a^{b \times c}\\\\[/tex]
Since the given expression is
[tex]\HUGE{z^{-t(m^t)^2}}[/tex]
and the values are m = 2, t = -3, and z = 0,
Firstly evaluating the exponent of z
Exponent of Z is
[tex]-t(m^t)^2 = -(-3) \times (2^{-3})^2 = 3 \times 2^{-3 \times 2} = 3 \times 2^{-6} = \dfrac{3}{2^6} = \dfrac{3}{64}\\[/tex]
Since z is 0, and raising 0 to any exponent (except 0 itself) results in 0, thus,
[tex]Z ^{3/64} = 0^{3/64} = 0[/tex]
Thus,
The result of the evaluated expression for given values of the unknowns is 0
Learn more about exponents and base here:
https://brainly.com/question/15722035
