2^99 - (-2)^99 =
a. 0^99
b. 2^99
c. 2^198
d. 4^99
is the answer a?
no ... none of the choices are correct
check the transcription of the problem
sorry, it's
2^99 + (-2)^99
https://www.google.com/search?source=hp&ei=JjVZW_b-MIzGsQWFnqGwBA&q=2%5E99+%2B+%28-2%29%5E99+%3D+&oq=2%5E99+%2B+%28-2%29%5E99+%3D+&gs_l=psy-ab.3..33i160k1.3945.11950.0.12721.9.6.2.0.0.0.146.690.0j6.6.0....0...1.1.64.psy-ab..1.2.221.0...0.nBbbKmhQhvA
then your answer is correct
(-2)^99 = -(2^99)
so 2^99 + (-2)^99
= 2^99 - 2^99
= 0
Ms. Sue's google calculation confirmed this as well.
0^99 is a rather sloppy way to state the answer, but a) is correct
To solve this problem, we can simplify the expression by first working with the negative sign. Remember that (-a)^n is equal to (-1)^n * a^n.
So, let's break down each term separately:
2^99: This is simply 2 raised to the power of 99.
(-2)^99: This is (-1)^99 * 2^99.
Since (-1)^99 is equal to -1 raised to an odd power, it results in -1. So, (-2)^99 can be simplified to -1 * 2^99.
Now, let's substitute these values back into the original expression:
2^99 - (-2)^99 = 2^99 - (-1 * 2^99)
Since we are subtracting a negative term, it is equivalent to adding the positive term:
2^99 + 1 * 2^99 = 2^99 + 2^99
Now we can combine the terms:
2^99 + 2^99 = 2 * 2^99
Finally, we can rewrite 2 * 2^99 as 2^1 * 2^99, which gives us 2^(1 + 99) = 2^100.
So, the correct answer is not an option given. The answer is 2^100.
Therefore, the answer is not a.