The index form of sqrt(((4)/(5))^(3)) is...

The index form of `sqrt(((4)/(5))^(3))` is

A

`((4)/(5))^(3//2)`

B

`((4)/(5))^(3)`

C

`((4)/(5))^(1//2)`

D

`((4)/(5))^(1//27)`

Text Solution

Verified by Experts

The correct Answer is:

A

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

INDICES AND SURDS
ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER FOR CRACKING EXAM|20 Videos
HEIGHT AND DISTANCE
ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CARCKING EXAM)|18 Videos
LINEAR EQUATIONS
ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|30 Videos

Similar Questions

Explore conceptually related problems

Express the following expression in the form of a+ib((3+i sqrt(5))(3-i sqrt(5)))/((sqrt(3)+sqrt(2)i)-(sqrt(3)-i sqrt(2)))

The square root of (7+3sqrt(5))(7-3sqrt(5)) is sqrt(5)(b)2(c)4(d)3sqrt(5)

Knowledge Check

The index form of root9(((4)/(5))^(2)) is

A

`((4)/(5))^(2/9)`

B

`((4)/(5))^(3)`

C

`((4)/(5))^(1//2)`

D

`((4)/(5))^(1//27)`

The Euler form of (2+6sqrt3i)/(5+isqrt3) is

A

`2.e^(ipi//6)`

B

`e^(ipi//3)`

C

`e^(-2pi//3)`

D

`2e^(-pi//3)`

The value of {1/((sqrt(6) - sqrt(5))) + 1/((sqrt(5) + sqrt(4))) + 1/((sqrt(4) + sqrt(3))) - 1/((sqrt(3) - sqrt(2))) + 1/((sqrt(2) - 1))} is :

A

5

B

7

C

`sqrt(12)`

D

None of these

Similar Questions

Explore conceptually related problems

The square root of (7+3sqrt5) (7-3sqrt5) is (A) 4 (B) sqrt5 (C) 3sqrt5 (D) 2

Express each one of the following in the standard form a+ib:((3+i sqrt(5))(3-i sqrt(5)))/((sqrt(3)+sqrt(2)i)-(sqrt(3)-i sqrt(2)))

The domain of cos^(-1)(x^(2)-4) is (a) [3,5] (b) [-1,1][-sqrt(5),-sqrt(3)]uu[sqrt(3),sqrt(5)]-sqrt(5),-sqrt(3)]nn[-sqrt(5),sqrt(3)]

express in a+ib form: ((3+isqrt(5))(3-isqrt(5)))/((sqrt(3)+isqrt(2))-(sqrt(3)-isqrt(2)))

Simplest form of ((sqrt(26 - 15sqrt(3)))/(5sqrt2-sqrt(38+5sqrt3)))^2 is

ARIHANT PUBLICATION BIHAR-INDICES AND SURDS-EXAM BOOSTER FOR CRACKING EXAM

The index form of sqrt(((4)/(5))^(3)) is
01:47
|
The radical form of ((13)/(25))^(3//4) is
02:07
|
The value of (5)/(121^(-(1)/(2))) is
01:46
|
The value of (512)^(-(3)/(9)) is
01:59
|
The value of 3xx 9^(-3//2) xx 9^(1//2) is
02:51
|
The value of (216^((2)/(3)))^((1)/(2)) is
01:35
|
The value of 27^(-1//3) xx [27^(2//3) + 27^(1//3)] is
02:58
|
The value of (6.25)^(-1//2) is
02:29
|
The value of (sqrt63 xx sqrt7)/(root3(27)) is
02:43
|
If sqrt3=1.732, then the value of (sqrt3+1)/(sqrt3-1) is
03:13
|
If 3^(x)= (1)/(9), then the value of x is
01:42
|
The value of (0. 03125)^(-2/5) is 4 b. 12 c. 9 d. 31. 25
01:12
|
The value of sqrt(18) + sqrt(50) - sqrt(32) is
02:45
|
The value of (x^(a-b))^(c ) xx (x^(b-c))^(a) xx (x^(c-a))^(b) is
02:46
|
The value of ((a^(x))/(a^(y)))^(x+y) xx ((a^(y))/(a^(z)))^(y+z) xx ((a...
05:07
|
IF (sqrt126xxsqrt63xxsqrt45)/(sqrt147xxsqrt243) then the value of x is
05:50
|
The value of (12^(2) + 5^(2))^(1//2) is
02:00
|
If 9 sqrtx = sqrt12 + sqrt147 , then x = ? S
01:17
|
The value of (7sqrt2 +5) (7 sqrt2-5) is
01:25
|
The value of ((a^(x))/(a^(y)))^(x^(2) + xy +y^(2)) xx ((a^(y))/(a^(z))...
06:00
|