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# Exponent Algebra; Help!!

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Intern
Joined: 09 Jun 2017
Posts: 8

Kudos [?]: 1 [0], given: 1

Location: United States

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17 Oct 2017, 18:27
Can someone please explain to me the following:

[15^x + 15^x(15^1)] => (15^x)(1 + 15)

This is in the solution section of a question from an MGMAT practice CAT and I can't for the life of me figure out how they arrived at the second part algebraically.

Kudos [?]: 1 [0], given: 1

Intern
Joined: 17 Aug 2017
Posts: 6

Kudos [?]: 5 [0], given: 14

Location: India
Concentration: Technology, Finance
Schools: HBS '20, Booth '20, IIMC
GMAT 1: 740 Q49 V42
GPA: 3.91

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17 Oct 2017, 19:41
mcdo wrote:
Can someone please explain to me the following:

[15^x + 15^x(15^1)] => (15^x)(1 + 15)

This is in the solution section of a question from an MGMAT practice CAT and I can't for the life of me figure out how they arrived at the second part algebraically.

Take 15^x common and you will get the 2nd part.

Kudos [?]: 5 [0], given: 14

Math Expert
Joined: 02 Sep 2009
Posts: 42571

Kudos [?]: 135392 [0], given: 12691

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17 Oct 2017, 20:21
mcdo wrote:
Can someone please explain to me the following:

[15^x + 15^x(15^1)] => (15^x)(1 + 15)

This is in the solution section of a question from an MGMAT practice CAT and I can't for the life of me figure out how they arrived at the second part algebraically.

Please post complete question. Thank you.
_________________

Kudos [?]: 135392 [0], given: 12691

Senior Manager
Joined: 30 Jan 2016
Posts: 322

Kudos [?]: 238 [1], given: 97

Location: United States (MA)

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17 Oct 2017, 22:41
1
KUDOS
mcdo wrote:
Can someone please explain to me the following:

[15^x + 15^x(15^1)] => (15^x)(1 + 15)

This is in the solution section of a question from an MGMAT practice CAT and I can't for the life of me figure out how they arrived at the second part algebraically.

They took out 15^x outside the brackets:
$$(15^x+15^x * 15) = 15^x (1 + 15) = 15^ x * 16$$
_________________

+1 Kudos is the best way to say "Thank you!"

Kudos [?]: 238 [1], given: 97

Intern
Joined: 09 Jun 2017
Posts: 8

Kudos [?]: 1 [0], given: 1

Location: United States

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18 Oct 2017, 18:30
Masshole wrote:
mcdo wrote:
Can someone please explain to me the following:

[15^x + 15^x(15^1)] => (15^x)(1 + 15)

This is in the solution section of a question from an MGMAT practice CAT and I can't for the life of me figure out how they arrived at the second part algebraically.

They took out 15^x outside the brackets:
$$(15^x+15^x * 15) = 15^x (1 + 15) = 15^ x * 16$$

Ohhhhhhhh - thank you!

Kudos [?]: 1 [0], given: 1

Re: Exponent Algebra; Help!!   [#permalink] 18 Oct 2017, 18:30
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