indice thing 1

[red and white kop!]

(2^100) - (2^99)
im supposed to be doing pretty advance stuff but this just stumps me
can someone show me how this is done? the answer is to be in the form 2^n

 

[soroban]

Hello, red and white kop!!

$\displaystyle \text{Simplify: }\:2^{100} - 2^{99}$

The answer is to be in the form $\displaystyle 2^n$

$\displaystyle \text{Factor: }\;2^{100} - 2^{99} \;\;=\;\;2^{99}(2 - 1) \;\;=\;\;2^{99}\cdot 1 \;\;=\;\;2^{99}$

 

[red and white kop!]

thanks