What is the result of simplifying the expression 42 - (6³ x 9²) + 32 - 16 x (4³ - 8²)?

To simplify the expression 42 - (6³ x 9²) + 32 - 16 x (4³ - 8²), it's essential to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. Calculate the exponents first:

• 6³ equals 216

• 9² equals 81

• 4³ equals 64

• 8² equals 64

2. Next, substitute these values into the expression:

( 42 - (216 \times 81) + 32 - 16 \times (64 - 64) )

3. Now, calculate the multiplication within the parentheses:

• 216 x 81 = 17496

• For ( 64 - 64 ), we get 0. Thus, ( 16 \times 0 = 0 ).

4. Now substitute back into the expression:

( 42 - 17496 + 32 - 0 )

Simplifying further,

( 42 + 32 =