Simplify: 27−3^3+4⋅2^2−6 .

Answer 1

To simplify this expression, follow the order of operations (PEMDAS).

First, evaluate the exponentiation: 3^3 equals 27.

Now rewrite the expression: 27 - 27 + 4*2^2 - 6

Next, evaluate the exponentiation: 2^2 equals 4.

Now rewrite the expression: 27 - 27 + 4*4 - 6

Now perform the multiplication: 4*4 equals 16.

Now rewrite the expression: 27 - 27 + 16 - 6

Next, subtract the numbers from left to right: 27 - 27 equals 0.

Now rewrite the expression: 0 + 16 - 6

Finally, perform the addition and subtraction: 0 + 16 equals 16, and 16 - 6 equals 10.

The simplified expression is 10.