Answer:
To solve this expression, we'll follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to simplify it step by step:
First, let's simplify the exponent: (3^10) = 59049
So, the expression becomes: 59049^0
Any number (except 0) raised to the power of 0 is always equal to 1.
Thus, 59049^0 = 1
Finally, we need to square the result: 1^2 = 1
Therefore, [(3^10)^0]^2 = 1^2 = 1.
((3 * 2) ^ 6)/(2 ^ 6) can be simplified as follows:
(6 ^ 6)/(64)
The value of 6 raised to the power of 6 is 46656, so the expression simplifies to:
46656/64 = 729