\((2^5)^4+(2^3)^2=\)

[Vincen]

\((2^5)^4+(2^3)^2=\)

A. \(2^{15}\)

B. \(2^{20}\)

C. \(2^{26}\)

D. \(2^6\cdot (2^{14}+1)\)

E. \(2^{120}\cdot(2^2+1)\)

[spoiler]OA=D[/spoiler]

Source: Magoosh

[Scott@TargetTestPrep]

\((2^5)^4+(2^3)^2=\)

A. \(2^{15}\)

B. \(2^{20}\)

C. \(2^{26}\)

D. \(2^6\cdot (2^{14}+1)\)

E. \(2^{120}\cdot(2^2+1)\)

[spoiler]OA=D[/spoiler]

Solution:

(2^5)^4 + (2^3)^2 = 2^20 + 2^6 = (2^6)(2^14 + 1)

Answer: D