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karthikpandian19
- Legendary Member
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3^2 = 9
3-2 = 1
2^9/2^1 = 2^8 A
karthikpandian19 wrote:
Question i have attached IMAGE.refer ......
(2^((4-2)^2))/2^(3-2)
2^8
2^7
2^6
2^5
2^4
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Power Exponents
Source: Beat The GMAT — Problem Solving |
4-1 = 3
3^2 = 9
3-2 = 1
2^9/2^1 = 2^8 A
3^2 = 9
3-2 = 1
2^9/2^1 = 2^8 A
(4-1)^2=3^2=9karthikpandian19 wrote:
Question i have attached IMAGE.refer ......
(2^((4-2)^2))/2^(3-2)
2^8
2^7
2^6
2^5
2^4
2^9/2^(3-2)=2^9/2^1= 2^8
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karthikpandian19
- Legendary Member
- Posts: 1665
- Thanked: 165 times
Maybe a simple answer for you, but i am confused here with the Power exponents rules. Can you clarify the below:
2^((4-1)^2)
derives 2^(3^2)
Can't it be further simplified as 8^2 (which means first work for 2^3 and then for the ^2 of it)
I feel lost somewhere with the equations.....Pls clarify
I mean why this rule is not used...
2^((4-1)^2)
derives 2^(3^2)
Can't it be further simplified as 8^2 (which means first work for 2^3 and then for the ^2 of it)
I feel lost somewhere with the equations.....Pls clarify
I mean why this rule is not used...
shankar.ashwin wrote:4-1 = 3
3^2 = 9
3-2 = 1
2^9/2^1 = 2^8 Akarthikpandian19 wrote:
Question i have attached IMAGE.refer ......
(2^((4-1)^2))/2^(3-2)
2^8
2^7
2^6
2^5
2^4
Hi Karthik,
A basic arithmetic rule is to always work with quantities inside the bracket first and then move on simplifying further.
Look up basic BODMAS rules with brackets, as a rule always compute quantities inside the bracket.
SO here, 2^(3^2) = 2^9 because (3^2) is inside the bracket and considered a single entity.
A basic arithmetic rule is to always work with quantities inside the bracket first and then move on simplifying further.
Look up basic BODMAS rules with brackets, as a rule always compute quantities inside the bracket.
SO here, 2^(3^2) = 2^9 because (3^2) is inside the bracket and considered a single entity.
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karthikpandian19
- Legendary Member
- Posts: 1665
- Thanked: 165 times
Thank you for the clarification
shankar.ashwin wrote:Hi Karthik,
A basic arithmetic rule is to always work with quantities inside the bracket first and then move on simplifying further.
Look up basic BODMAS rules with brackets, as a rule always compute quantities inside the bracket.
SO here, 2^(3^2) = 2^9 because (3^2) is inside the bracket and considered a single entity.
