Calculating, a^b = 2^3 = 8 and b^a = 3^2 = 9, thus a^b + b^a = 8 + 9 = 17.

Substituting gives 2(2^2) + 3(3) = 8 + 9 = 17.

Calculating 3^2 = 9 and 2^3 = 8, thus 9 + 8 = 17.

To find f(4), substitute x with 4: f(4) = 3(4) + 2 = 12 + 2 = 14.

In the linear function f(x) = mx + b, 'm' represents the slope, which is 2 in this case.

In the linear function f(x) = 2x + 3, the coefficient of x (which is 2) represents the slope of the graph.

In the linear function f(x) = mx + b, 'm' represents the slope. Here, the slope is 2.

Substituting x = 0 into the function gives f(0) = 2(0) + 3 = 3.

In the linear function f(x) = mx + b, 'm' represents the slope. Here, m = 2.

To find f(4), substitute x with 4: f(4) = 3(4) + 2 = 12 + 2 = 14.

In the linear function f(x) = mx + b, m represents the slope. Here, m = 3, so the slope is 3.

In the linear function f(x) = mx + b, 'm' represents the slope, which is 3 in this case.

To find critical points, we take the derivative and set it to zero. The function has one local maximum and one local minimum based on the nature of cubic functions.

Critical points of a function can be local maxima, local minima, or points of inflection, depending on the behavior of the function around those points.

In the linear function f(x) = mx + b, 'm' represents the slope. Here, the slope is 3.

'C' is the constant term in the equation, representing the value at which the line intersects the axes.

In the equation Ax + By = C, A and B are coefficients of the variables x and y, while C is a constant.

In the polynomial P(x), the coefficient of the x^2 term is -4.

In the polynomial P(x), the coefficient of x^2 is -4.

The roots of the polynomial can be found by factoring it as (x - 2)(x - 3) = 0, giving roots 2 and 3.

The roots of the polynomial can be found by factoring it as (x - 2)(x - 3) = 0, giving roots 2 and 3.

The roots of the polynomial can be found by factoring it as (x - 2)(x - 3) = 0, giving roots 2 and 3.

By applying the Rational Root Theorem and synthetic division, we can find that p(x) has three distinct real roots.

According to the exponent rule, any non-zero number raised to the power of zero equals 1.

By convention, 0^0 is often defined as 1 in combinatorics, although it can be considered indeterminate in other contexts.

The exponent zero indicates the multiplicative identity, meaning any non-zero number raised to the power of zero equals one.

Using the property of exponents, a^3 * a^(-2) = a^(3 - 2) = a^1, hence x = 1.

Substituting a = 2, we have 2^3 * b^2 = 64, which simplifies to 8b^2 = 64. Thus, b^2 = 8, leading to b = 4.

From a^3 = b^2, we can express b in terms of a as b = a^(3/2).

According to the laws of exponents, when multiplying like bases, we add the exponents: p = m + n.