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The equation (x-1)^(|x|-4) = 1 has solutions x = -4, 0, 2, and 4.

The difference of squares formula is used to evaluate the expression 100^2 - 99^2, resulting in 199.

To find the smallest possible values for A and B in a 10-digit number divisible by both 8 and 9, the last three digits (9B8) must be divisible by 8, and the sum of all digits must be divisible by 9. This leads to B=2 and A=3 as the smallest possible values.

The equation x^2 - 2x = 0 has two solutions, x = 0 and x = 2, not just x = 2.

The solution for b in the equation 2^(b^2+2) = 64 is b = 2.

To find 2^(m+n), solve for m and n in the equations 2^m = 1 and 2^n = 16, then substitute the values into the expression.

The expression 0^0 is considered an indeterminate form in calculus because different approaches to evaluating it yield different potential values. While some approaches suggest a value of 1 and others suggest 0, the limit does not have a single, well-defined value. In some contexts, like combinatorics, it is defined as 1 for convenience.

The magnitude of the given row vector is calculated, resulting in 3.

The determinant of the 3x3 matrix is calculated using the formula a(ei - fh) - b(di - fg) + c(dh - eg), resulting in a determinant of 0.

The multiplication of the two given matrices results in a 2x3 matrix with entries calculated by multiplying corresponding rows and columns of the matrices and summing the products.