Advertisements
Advertisements
प्रश्न
Which one of the following is not equal to \[\left( \sqrt[3]{8} \right)^{- 1/2} ?\]
पर्याय
\[\sqrt[3]{2}^{- 1/2}\]
\[8^{- 1/6}\]
\[\frac{1}{(\sqrt[3]{8} )^{1/2}}\]
\[\frac{1}{\sqrt{2}}\]
उत्तर
We have to find the value of `(3sqrt8)^(-1/2)`
So,
`(3sqrt8)^(-1/2) = (3sqrt(2xx 2xx 2))^(-1/2)`
`=(3sqrt(2^3))^(1/2)`
`2^(3 xx 1/3 xx -1/2)`
`2^(3 xx 1/3 xx -1/2)`
`(3sqrt8)^(-1/2) = 2^(-1/2)`
`= 1/(2^(1/2))`
`= 1/sqrt2`
Also, `(sqrt8)^(-1/2) = 2 ^(-1/6)`
APPEARS IN
संबंधित प्रश्न
Simplify the following:
`(6(8)^(n+1)+16(2)^(3n-2))/(10(2)^(3n+1)-7(8)^n)`
Assuming that x, y, z are positive real numbers, simplify the following:
`(x^((-2)/3)y^((-1)/2))^2`
Prove that:
`sqrt(1/4)+(0.01)^(-1/2)-(27)^(2/3)=3/2`
Show that:
`(x^(a-b))^(a+b)(x^(b-c))^(b+c)(x^(c-a))^(c+a)=1`
If 2x = 3y = 12z, show that `1/z=1/y+2/x`
Solve the following equation:
`4^(x-1)xx(0.5)^(3-2x)=(1/8)^x`
When simplified \[( x^{- 1} + y^{- 1} )^{- 1}\] is equal to
The value of m for which \[\left[ \left\{ \left( \frac{1}{7^2} \right)^{- 2} \right\}^{- 1/3} \right]^{1/4} = 7^m ,\] is
The value of \[\left\{ \left( 23 + 2^2 \right)^{2/3} + (140 - 19 )^{1/2} \right\}^2 ,\] is
(256)0.16 × (256)0.09
