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Question about Exponents

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Intern
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Joined: 16 May 2017
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Question about Exponents [#permalink]

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New post 22 Nov 2017, 13:10
Hey guys,

I´m still struggeling with party of the eponents topic. for example a=3^3+2^9and b=3^6+7^3. I´m not able to find a fast way to decide which one is the bigger one.

Next question is:

If a and b are integer numbers, ans 2^a*3b=12^4 what is the value of a+b?

Cheers

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Intern
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Re: Question about Exponents [#permalink]

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New post 23 Nov 2017, 06:28
For the first case:
You should break down the 2^9 and 3^6. Bringing down to the smallest factor. You should start by remembering the power values for smaller numbers

Second question-

12^4 can be broken in 2^8 and 3^4

Hence a+b is 12.

For exponents prime factorization is the key.

Further if you’re facing confusion regarding when to multiply subtract or add powers you could always remember this trick of PMDSMA
Powers multiply
Division subtract
Multiplication add

Hope it helps


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Senior Manager
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Re: Question about Exponents [#permalink]

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New post 23 Nov 2017, 09:49
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Hi!

Here is a great topic on exponents:

https://gmatclub.com/forum/exponents-an ... 74993.html
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+1 Kudos is the best way to say "Thank you!"

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Re: Question about Exponents   [#permalink] 23 Nov 2017, 09:49
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Question about Exponents

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