(2^(4-1)^2)/(2^(3-2))

Expert replies

Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members; Thanked: 6 times

by Vincen » Fri Nov 10, 2017 6:12 am

$$\frac{2^{\left(4-1\right)^2}}{2^{\left(3-2\right)}}=0$$

A. 2^8
B. 2^7
C. 2^6
D. 2^5
E. 2^4

The OA is A .

I don't know how to do the calculus here. Experts, can you help me?

Thanks.

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Source: Beat The GMAT — Problem Solving | Fri Nov 10, 2017 6:12 am

EconomistGMATTutor: GMAT Instructor; Posts: 555; Joined: Wed Oct 04, 2017 4:18 pmFollowed by: 12 members; Thanked: 180 times

Answer

by EconomistGMATTutor » Fri Nov 10, 2017 7:28 am

Hello Vincen.

Let's do the calculus step by step.
$$1-\,\, \left(4-1\right)^2=\left(3\right)^2=9.$$ So, $$2^{\left(4-2\right)^2}=2^9.$$ Now, $$2-\,\, \ 2^{\left(3-2\right)}=2^1.$$ Finally, $$3-\,\, \ \frac{2^{\left(4-1\right)^2}}{2^{\left(3-2\right)}}=\frac{2^9}{2^1}=2^{\left(9-1\right)}=2^{8.}$$ So, the correct answer is A .

I hope this can help you.

I'm available if you'd like a follow up.

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Fri Nov 10, 2017 8:30 am

Vincen wrote:$$\frac{2^{\left(4-1\right)^2}}{2^{\left(3-2\right)}}=0$$

A. 2^8
B. 2^7
C. 2^6
D. 2^5
E. 2^4

The OA is A .

I don't know how to do the calculus here. Experts, can you help me?

Thanks.

I have a feeling that you didn't mean to write that the expression $$\frac{2^{\left(4-1\right)^2}}{2^{\left(3-2\right)}}$$ equals ZERO.
This would be impossible.

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8142; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Sun Nov 03, 2019 7:34 pm

Vincen wrote:$$\frac{2^{\left(4-1\right)^2}}{2^{\left(3-2\right)}}=0$$

A. 2^8
B. 2^7
C. 2^6
D. 2^5
E. 2^4

The OA is A .

I don't know how to do the calculus here. Experts, can you help me?

Thanks.

(Note: The 0 on the right hand side should be a question mark. Otherwise, the expression makes no sense.)

Solution:

Simplifying the numerator, we have:

(2)^(3)^2 = 2^9

Simplifying the denominator, we have:

2^1

Thus, we have:

2^9/2^1 = 2^8

Answer: A

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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