The provided LaTeX expression is not coherent and contains errors that need correction to make mathematical sense. Here is the corrected and formatted expression:

[tex]$
\left(\frac{x^2 - y^4 \cdot 2^6 - 4 \cdot (7 \times 6)}{7(x - 26 + 4)}\right)^0
$[/tex]

If the intention was for the expression to evaluate as a power of zero, note that any non-zero base raised to the power of zero is 1. This might be the correct interpretation if the question is intended to explore properties of exponents.



Answer :

Let's carefully evaluate the given mathematical expression step by step:

[tex]\[ \left( \frac{x^2 + (-y^4) \cdot 2^6 - 4 \cdot (7 \cdot 6)}{7 \cdot (x - 26 + 4)} \right)^0 \][/tex]

First, let's analyze the exponent:

The expression is raised to the power of [tex]\(0\)[/tex].

Step 1: Any number or expression (assuming it is not zero in the denominator) raised to the power of 0 is 1.

Therefore, the expression inside the parentheses does not need to be simplified for the final evaluation of the power [tex]\(0\)[/tex].

Step 2: Applying the power of [tex]\(0\)[/tex]:

[tex]\[ \left( \frac{x^2 + (-y^4) \cdot 2^6 - 4 \cdot (7 \cdot 6)}{7 \cdot (x - 26 + 4)} \right)^0 = 1 \][/tex]

Thus, the final value of the given expression is:

[tex]\[ 1 \][/tex]