Evaluate: -3^4+5[3(-4)^2-7]

124 (-3)^2*(-3)^2 + 5(48-7) = 81 + 5(41) = 81 + 205 = 286.

To evaluate the expression -3^4 + 5[3(-4)^2 - 7], we need to follow the order of operations (also known as PEMDAS/BODMAS). PEMDAS stands for Parentheses, Exponents, Multiplication/Division (from left to right), and Addition/Subtraction (from left to right).

Let's break down the expression step by step:

1. Start with the calculation inside the parentheses first:
-3^4 + 5[3(-4)^2 - 7]

The expression -4 raised to the power of 2 gives us 16:
-3^4 + 5[3(16) - 7]

2. Simplify the multiplication inside the brackets:
-3^4 + 5[48 - 7]

The subtraction within the brackets gives us 41:
-3^4 + 5[41]

3. Now, let's simplify the exponent:
-3^4 means (-3) * (-3) * (-3) * (-3). Since the exponent is even, the result will be positive.
(-3)^4 = (-3) * (-3) * (-3) * (-3) = 81:
-81 + 5[41]

4. Perform the multiplication outside the brackets:
5 * 41 = 205:
-81 + 205

5. Finally, simplify the addition/subtraction:
-81 + 205 = 124

Therefore, the evaluated value of the expression -3^4 + 5[3(-4)^2 - 7] is 124.