Find the value of 1-1-2-1-111-4

The correct option is B 11^ 1/4(1/11)^1/2/(1/11)^1/4 ∵a^m/a^n = a^m n ⇒ nbsp;(1/11)^1/2 nbsp;1/4 = nbsp;(1/11)^1/4 ∵1/a^m = a^ m ⇒ nbsp;(1/11)^1/4 = ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Other

Quantitative Aptitude

Divisibility Rule for 7 & 13

Find the valu...

Question

Find the value of $\frac{(\frac{1}{11})^{\frac{1}{2}}}{(\frac{1}{11})^{\frac{1}{4}}}$ .

11^{\frac{1}{4}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

11^{- \frac{1}{4}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

11^{- \frac{1}{2}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

11^{\frac{1}{2}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $11^{- \frac{1}{4}}$
$\frac{(\frac{1}{11})^{\frac{1}{2}}}{(\frac{1}{11})^{\frac{1}{4}}}$
$∵ \frac{a^{m}}{a^{n}} = a^{m - n}$
$\Rightarrow (\frac{1}{11})^{\frac{1}{2} - \frac{1}{4}}$
$= (\frac{1}{11})^{\frac{1}{4}}$
$∵ \frac{1}{a^{m}} = a^{- m}$
$\Rightarrow (\frac{1}{11})^{\frac{1}{4}} = 11^{- \frac{1}{4}}$

Suggest Corrections

Similar questions

Q. Solve and find the value of

\frac{11^{\frac{1}{2}}}{11^{\frac{1}{4}}}

∣ ∣ ∣ \begin{matrix} x & 4 2 & 1 \end{matrix} ∣ ∣ ∣ = 2

Find the value of x?

Q. The slope of the tangent at

(\frac{π}{4}, 0)

to the curve

1 + 16 x^{2} y = tan (x - 2 y)

Q. Find the value of

1111^{2}

if:

1^{2} = 1

11^{2} = 121

111^{2} = 12321

Q. The value of

|\begin{matrix} 1 & 1 & 1 \\ ^{n} C_{1} & ^{n + 2} C_{1} & ^{n + 4} C_{1} \\ ^{n} C_{2} & ^{n + 2} C_{2} & ^{n + 4} C_{2} \end{matrix}|

is

(a) 2
(b) 4
(c) 8
(d) n²

Join BYJU'S Learning Program

Find the value of (111)12(111)14.

The correct option is B 11−14(111)12(111)14 ∵aman=am−n ⇒(111)12−14 =(111)14 ∵1am=a−m ⇒(111)14=11−14

Find the value of $\frac{(\frac{1}{11})^{\frac{1}{2}}}{(\frac{1}{11})^{\frac{1}{4}}}$ .