Question

solve and find the value of (14641)0.25

Answer 1

I think question is (14641)^0.25
solution :
(14641)^0.25 = (14641)^¼ = (11⁴)^¼ = 11

Answer 2

Answer:

$Value \: of \: (14641)^{0.25}=11$

Step-by-step explanation:

$Value \: of \: (14641)^{0.25}$

11| 14641

___________

11| 1331

___________

11| 121

___________

***** 11

Now,

14641 = 11×11×11×11 = (11)⁴

$Value \: (14641)^{0.25}\\=(11^{4})^{0.25}\\</p><p>= (11)^{4 \times 0.25}$

\* By Exponential Law:

$\boxed {(a^{m})^{n} = a^{mn}}$ */

= $(11)^1$

Therefore,

$Value \: of \: (14641)^{0.25}=11$

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