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Diketahui 
2^(2015)+2^(2014)=ab^(c) maka nilai dari 
a+b+c=dots
A. 2017
B. 2018
C. 2019
D. 2020
E. 2021

Diketahui 22015+22014=abc 2^{2015}+2^{2014}=a b^{c} maka nilai dari a+b+c= a+b+c=\ldots \newlineA. 20172017\newlineB. 20182018\newlineC. 20192019\newlineD. 20202020\newlineE. 20212021

Full solution

Q. Diketahui 22015+22014=abc 2^{2015}+2^{2014}=a b^{c} maka nilai dari a+b+c= a+b+c=\ldots \newlineA. 20172017\newlineB. 20182018\newlineC. 20192019\newlineD. 20202020\newlineE. 20212021
  1. Rewrite Expression: Rewrite the given expression using properties of exponents.\newline22015+22014=22014×(21+1)=22014×32^{2015} + 2^{2014} = 2^{2014} \times (2^1 + 1) = 2^{2014} \times 3
  2. Express in Form: Express the right side of the equation in the form abcab^c. \newlineabc=2×32014ab^c = 2 \times 3^{2014}
  3. Identify Values: Identify the values of aa, bb, and cc. \newlinea=2a = 2, b=3b = 3, c=2014c = 2014
  4. Calculate Sum: Calculate the sum of aa, bb, and cc.\newlinea+b+c=2+3+2014a + b + c = 2 + 3 + 2014

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