8×2^100 + 4×2^101 =

Question

8×2^100 + 4×2^101 =

A) 2^101

B) 2^102

C) 2^103

D) 2^104

E) 2^105

matthewsmith_89 · Answer

8×2^100 + 4×2^101
2^3 x 2^100 + 2^2 x 2^101
2^103 + 2^103
2^103 ( 1 + 1)
2^103 (2)
2^104

Answer D

Abhishek009 · Answer

8*2^{100} + 4*2^{101}

=  2^3*2^{100} + 2^2*2^{101}

=  2^{103} + 2^{103}

=  2^{103} ( 1 + 1 )

=  2^{103}*2

=  2^{104}

Thus, answer must be (D)  2^{104}

avinash07 · Answer

2^3x2^100+2^2x2^101
2^103+2^103
2x2^103
2^104.
Option D is correct

Sent from my HTC Desire 728 dual sim using  GMAT Club Forum mobile app

ScottTargetTestPrep · Answer

Let’s first factor each non-prime integer into primes.

8 = 2^3

4 = 2^2

Thus, we have:

2^3 x 2^100 + 2^2 x 2^101

2^103 + 2^103

Now factor 2^103 from each of the terms, obtaining:

2^103(1 + 1) = 2^103 x 2^1 = 2^104

Answer: D

bumpbot · Answer

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8×2^100 + 4×2^101 =

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