Advertisements
Advertisements
प्रश्न
Write \[\left( \frac{1}{9} \right)^{- 1/2} \times (64 )^{- 1/3}\] as a rational number.
Advertisements
उत्तर
We have to find the value of . `(1/9) ^((-1)/2) xx (64) ^((-1)/3`So,
`(1/9) ^((-1)/2) xx (64) ^((-1)/3` = `(1/9) ^((-1)/2) xx (64) ^((-1)/3`,
`= (1/3) ^((-1)/2) xx (4^3) ^((-1)/3) `
`= (1/3^(2 xx (-1)/2)) xx (4^(3 xx (-1)/3))`
`= (1/3^(2 xx (-1)/2)) xx (4^(3 xx (-1)/3))`
`(1/9) ^((-1)/2) xx (64) ^((-1)/3 ) = 1/3^(-1) xx 4^(-1) `
`=1/(1/3) xx 1/4`
`= 1xx 3/1 xx 1/4`
`= 3/4`
Hence the value of the value of `(1/9)^(-1/2) xx (64)^(-1/3)` is `3/4`.
APPEARS IN
संबंधित प्रश्न
If a = 3 and b = -2, find the values of :
(a + b)ab
Solve the following equations for x:
`2^(2x)-2^(x+3)+2^4=0`
Simplify:
`root3((343)^-2)`
Simplify:
`((25)^(3/2)xx(243)^(3/5))/((16)^(5/4)xx(8)^(4/3))`
Prove that:
`9^(3/2)-3xx5^0-(1/81)^(-1/2)=15`
If a and b are different positive primes such that
`(a+b)^-1(a^-1+b^-1)=a^xb^y,` find x + y + 2.
If (16)2x+3 =(64)x+3, then 42x-2 =
If \[x = \frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} - \sqrt{3}}\] and \[y = \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}}\] then x + y +xy=
If \[\sqrt{13 - a\sqrt{10}} = \sqrt{8} + \sqrt{5}, \text { then a } =\]
Simplify:
`(9^(1/3) xx 27^(-1/2))/(3^(1/6) xx 3^(- 2/3))`
