Find the value of: (7)^1.35 * (13)^0.35 * (91)^0.65 = ?

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18 Aug 2017 Root and Power

Find the value of:
(7)^1.35 * (13)^0.35 * (91)^0.65 = ?

OPtion

1) 633.34
2) 637.00
3) 631.57
4) 635.23
5) 634.91
6) 654.88
7) 630.57
8) 649.00
9) 632.00
10) None of these

Solution

(7)^1.35 * (13)^0.35 * (91)^0.65
=> (7)^1.35 * (13)^0.35 * (7*13)^0.65
=> [(7)^1.35 * (7)^0.65] * [(13)^0.35 * (13)^0.65]
= [7^2] * [13^1]
= 49*13
= 637

Correct Option: 2 Best Solution (9)

shraboni   7 years AGO

7^1.35 * 13^0.35 * (78*13)^0.65 ......[7*13=91]
=7^(1.35+0.65) *13^(0.35+0.65)
=7^2 *13^1
=637(OPTION 2)

Like? Yes (4) | No   

G.S.Kantharao   7 years AGO

(7)^1.35*(13)^0.35*(91)^0.65=(7)^1.35*(13)^0.35 *(13*7)^0.65=(7)^1.35+0.65*(13)^0.35+0.65=(7)^2*(13)^1=49*13=637
Hence the Right option is 2👈.

Like? Yes (3) | No   

Mukund Manohar   7 years AGO

7^1.35 * 13^0.35 * 91^0.65
=7^1 * 7^0.35 * 13^0.35 * 91^1 * 91^(-0.35)
= 7 * (7*13)^0,35 * 91 / 91^0.35
= 7 * (91)^0.35 * 91 / (91)^0.35
= 7*91 = 637

Like? Yes (1) | No (1)  

himadhar   7 years AGO

7^1.35=13.8
13^.35=2.4
91^.65=18.7
18.7*2.4*13.8=637

Like? Yes (1) | No (1)  

manisha   7 years AGO

(7)^1.35*(13)^0.35*(91)^0.65
13.83191636*2.454031728*18.76622439
ans=637

Like? Yes | No   

Varun   7 years AGO

7^1.35 = 13.8319
13^0.35= 2.45
91^0.65=18.76
Their product = 637

Like? Yes | No (1)  

SAYAN CHATTERJEE   7 years AGO

7^1.35*13^0.35^91^0.65
= 637.
Option 2.

Like? Yes | No (1)  

prasanna   7 years AGO

do the arithmetic operations which they are given there
we get approximately 637.00
so option 2 is correct

Like? Yes | No (1)  

Bodla Anupriya   7 years AGO

7^1.35=13.831
13^0.35=2.4540
91^0.65=18.766
ans=13.831*2.4540*18.766=637.00

Like? Yes | No (1)