It is currently 24 Mar 2019, 02:44

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# GRE Math Challenge #85-Simplify 2^x + 2^x

Author Message
TAGS:
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1782 [0], given: 397

GRE Math Challenge #85-Simplify 2^x + 2^x [#permalink]  09 May 2015, 10:27
Expert's post
00:00

Question Stats:

22% (00:12) correct 77% (00:18) wrong based on 18 sessions
$$2^x + 2^x$$

(A) $$2^{x+1}$$
(B) $$2^{x+2}$$
(C) $$2^{2x}$$
(D) $$4^{x}$$
(E) $$4^{2x}$$
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Director
Joined: 20 Apr 2016
Posts: 826
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 603 [0], given: 124

Re: GRE Math Challenge #85-Simplify 2^x + 2^x [#permalink]  14 Dec 2017, 08:58
sandy wrote:
$$2^x + 2^x$$

(A) $$2^{x+1}$$
(B) $$2^{x+2}$$
(C) $$2^{2x}$$
(D) $$4^{x}$$
(E) $$4^{2x}$$

Here
$$2^x + 2^x$$ = $$2^{x+1}$$

This can also be proved

by taking x = 3

then $$2^3 + 2^3$$ =$$(2^3)$$ * $$2^1$$ = 16 i.e $$2^{3 + 1}$$
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

GRE Instructor
Joined: 10 Apr 2015
Posts: 1541
Followers: 56

Kudos [?]: 1466 [1] , given: 8

Re: GRE Math Challenge #85-Simplify 2^x + 2^x [#permalink]  14 Dec 2017, 10:18
1
KUDOS
Expert's post
sandy wrote:
$$2^x + 2^x$$

(A) $$2^{x+1}$$
(B) $$2^{x+2}$$
(C) $$2^{2x}$$
(D) $$4^{x}$$
(E) $$4^{2x}$$

We can combine the terms in the same way we combine any like terms.
For example, k + k = 2k
And w² + w² = 2(w²)
And 3q³ + 3q³ = 2(3q³) = 6q³

Likewise, 2^x + 2^x = (2)2^x
= (2^1)(2^x)
= 2^(x + 1) [after we apply the product law]

RELATED VIDEO

_________________

Brent Hanneson – Creator of greenlighttestprep.com

Re: GRE Math Challenge #85-Simplify 2^x + 2^x   [#permalink] 14 Dec 2017, 10:18
Display posts from previous: Sort by