-5�ã2(4�ã2 - 3�ã3)
To simplify the given expression, we will follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, let's simplify the expression inside the parentheses:
4�ã2 - 3�ã3
Step 1: Apply the exponent to 4 and 3 separately.
4�ã2 becomes 4² = 16
3�ã3 becomes 3³ = 27
Step 2: Subtract the two results from each other.
16 - 27 = -11
Now, we substitute the simplified expression inside the parentheses back into the original expression:
-5�ã2 * (-11)
Next, let's simplify the expression within the outermost parentheses:
Step 1: Apply the exponent to -5:
-5�ã2 becomes -5² = -25
Step 2: Multiply the result by -11:
-25 * (-11) = 275
Hence, the simplified form of the given expression -5�ã2(4�ã2 - 3�ã3) is 275.