Discussion :: Surds and Indices - General Questions (Q.No.1)
| 1. | (17)3.5 x (17)? = 178 |
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Answer: Option D Explanation: Let (17)3.5 x (17)x = 178. Then, (17)3.5 + x = 178.
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3.5 + x = 8
x = (8 - 3.5)| Maneesha said: (Nov 29, 2010) | |
| 4(power of 3.5) 17 to the power of x in the value is |
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| Devika said: (Jan 20, 2011) | |
| How + came in second step? | |
| Aravindhsvcoe said: (Aug 13, 2011) | |
| a^m+a^n=a^m+n.according this formula sum of LHS power is equal to RHS power.i.e.3.5+4.5 = 8. | |
| Sid said: (Feb 25, 2012) | |
| (2^n * 6^ m+1 * 2^n+1 * 3^2m)/ (3^-n * 6^2m * 2^4+m)=181398528 then the value of n is? | |
| Swati said: (Dec 16, 2013) | |
| Simple calculation is: (17)3.5 x (17)x = (17)8. So, 3.5+x = 8. Means x = 8-3.5. x = 4.5. |
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| Ma Awa Barry said: (Feb 5, 2014) | |
| (17)3.5 x(17)x = (17)8. Therefore,(17)3.5+x = (17)8. x = (17)8-3.5. x = (17)4.5. |
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| Mithun said: (Jun 22, 2014) | |
| As per the laws of exponential (x)y.(x)m = (x)y+m. (17)3.5*(17)x = (17)8. 3.5 + x = 8. X = 8 - 3.5. X = 4.5. |
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| Taniya said: (Dec 21, 2014) | |
| @Mithun said the formula (x)y.(x)m = (x)y+m. But in the second step when value are put then m is not write in the place after 17Ã-8 why? |
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| David Wainaina said: (Jan 29, 2015) | |
| Simple maths you just do 8-3.5 = 4.5. | |
| Krishnalal Reang said: (Aug 27, 2015) | |
| I want with explanation and simple solution. | |
| Ayovin said: (Nov 14, 2016) | |
| Simple 8 - 3.5 = 4.5. | |
| Y.Mamaki said: (Feb 18, 2017) | |
| =17^3.5 * 17^*=17^8. =17^3.5* * =17^8. =17*= 17^8-3.5. =17*= 4.5. Answer =4.5. |
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| Rishikesh Agrawani said: (Jul 23, 2017) | |
| Just look at the below simple derivation. a.a.a.......m times = a^m, a.a.a.......n times. = a^n, (a.a.a.......m times).(a.a.a.......n times) = a.a.a......m+n times = a^(m+n). Now we got, a^m . a^n = a^(m+n). Applying the above formula to the given question, 17^3.5 . 17^x = 17^8, 17^(3.5+x) = 17^8, 3.5 + x = 8, x = 4.5. |
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| Harry said: (May 10, 2018) | |
| Please explain the calculation of 17^3.5. | |
| Vijay said: (Jan 21, 2022) | |
| Yes, A^m * A^n = A^m+n. | |
| Glory said: (May 14, 2022) | |
| Thanks everyone. | |
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