6 AM Quiz #04: Which is larger? (Responses)
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TimestampI thinkDescribe how you approach this quesitonNameReg no.Group: Early Bird points (before 7 am): 5 points
Any correct responses received by 9 am: 3 points
Any correct responses received by end of Saturday: 1 point
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TOTAL score Remarks (if any)
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3/4/2017 6:21:46Both are equal3^5=(3x3x3x3x3) so actually 3^5 can be written as (3^4x3).
3^4+3^4+3^4 can actually be also written as (3^4x3) because it is 3 groups of 3^4.
Thus, since both 3^4+3^4+3^4 and 3^5 are equal to (3^4x3), both are equal.
Christabel Lee11538
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3/4/2017 8:32:50Both are equal3^4 + 3^4 + 3^4 = 3^4 x 3^1.
When multiplying numbers that are the same but have different powers, we just add the two powers together. For example, 2^3 x 2^1 = 2^4.
So, 3^4 x 3^1 = 3^5.
Hence, they are both equal.
Ethan Loke131336
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3/4/2017 11:49:133^4 + 3^4 + 3^4 (Note: 3^4: THREE to the power of FOUR)3=a
3^4+3^4+3^4=3a^4
3^5=a^5=a^5
Lucas(Correct answer-Ignore the second one)151101You could have simplified without substituting a = 3. The pattern could be more obvious if you only use "3"
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3/4/2017 8:47:56Both are equal3^5= 3^4 x 3 which is equal to 3^4+3^4+3^4 Sara Woo62336
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3/4/2017 12:36:21Both are equalFirst, times the powers of the three and times three like 4x4x4=64 64x3=243 which is 3^5Ho Rui Yang102112Explanation not clear. Why introduce 4x4x4=64?
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3/4/2017 6:51:243^4 + 3^4 + 3^4 (Note: 3^4: THREE to the power of FOUR)I added the 3^4 together and tried to estimate the answer.Zuhairi172505Do not estimate. There's a way to work out the answers without calculator. (Clue: Algebra)
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3/4/2017 21:45:033^5 (i.e. THREE to the power of FIVE)3^4 + 3^4 + 3^4 = 3^12. This is definitely larger than 3^5.Muhammad Adam Aqasha182101Check your interpretation of the "Power"
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3/4/2017 6:11:58Both are equal3^4+3^4+3^4+3^4 is basically equals to 3*3*3*3+3*3*3*3+3*3*3*3+3*3*3*3 so comparing that to 3^5 which is 3*3*3*3*3, if you look carefully, you can actually see that to calculate 3^4+3^4+3^4 it is basically 3^4*3. Thus, also to calculate 3^5, it would be 3*3*3*3*3, thus it is actually the same as 3^4*3. So 3*3*3*3*3 if you take apart 4 threes, and out it together,you would get 3^4*3. So is you compare this to the answer just now, it as exactly the same. Thus my answer is both are equal. Qin Guan212538
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3/4/2017 6:59:263^4 + 3^4 + 3^4 (Note: 3^4: THREE to the power of FOUR)3^4 is equal to 3x3x3x3. So 3^4+3^4+3^4 is equal to(3x3x3x3)+(3x3x3x3)+(3x3x3x3) while 3^5 is just 3x3x3x3x3 which is way lesser than 3^4+3^4+3^4 thus i arrive at my answer.Hao Min74505Relook at your explanation. You attempted to demonstrate your understanding on what 3^4 mean; however, have not made the link ot the 2 arithmetic expressions.
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3/4/2017 12:56:34Both are equal I know that 3^4 x3 = 9^4=3^5 , so both are the same.Chong Yao Kiat corwin84112Explanation not clear. Why introduce "9"?
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3/4/2017 6:45:20Both are equal3^5 is equal to 3^4 x 3. Therefore, both are equal.Jia zeyu114538
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3/4/2017 9:48:223^4 + 3^4 + 3^4 (Note: 3^4: THREE to the power of FOUR)I first found out the total of both options then compared from there.Joel Chew124101Check your calculation. You can actually apply what you know in algebra ot solve this problem without working out the values.
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3/6/2017 20:00:07Both are equal3^4*3=3^5
so equal
Xee Zun Kye254N.A.CorrectN.A.
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3/7/2017 14:37:03Both are equalUsing a calculator.
Richard Kok Zen Xian
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