evaluate (2 ^-4
-
3)
the -4 goes with the whole problem
type everything in one line
e.g.
is it (2^-4 - 3 ) ??
no. the -4 goes with the entire problem. That's how the problem is written on my paper on two lines
To evaluate the expression (2^-4 - 3), you need to follow the order of operations.
Step 1: Simplify the exponent first. Here, we have 2 raised to the power of -4.
To simplify a negative exponent, you can rewrite it as the reciprocal of the positive exponent. So, 2^-4 can be rewritten as 1/2^4.
Step 2: Evaluate the exponent. 2^4 equals 16, so 1/2^4 equals 1/16.
Now, we can rewrite the expression as (1/16 - 3).
Step 3: Perform the subtraction. Subtract 3 from 1/16.
Remember that when subtracting fractions, you need a common denominator. In this case, the common denominator is 16.
1/16 - 3 can be rewritten as 1/16 - (3*16)/16.
(1 - 48)/16 = -47/16.
So, the evaluated expression is -47/16.