Advertisements
Advertisements
प्रश्न
Simplify:
`(256)^(-(4^((-3)/2))`
Advertisements
उत्तर
`(256)^(-(4^(-3/2))) = (256)^(-(4)^(-3/2)`
= `(256)^(-(2^2)^(-3/2))`
= `(256)^(-(2^(2 xx -3/2))` ...`[∵ b^((a^m)^n) = b^(a^(mn))]`
= `(256)^(-(2^-3))`
= `(2^8)^(-(1/2^3)`
= `(2^8)^(-1/8)`
= `2^(8 xx -1/8)`
= `2^-1`
= `1/2`
APPEARS IN
संबंधित प्रश्न
Simplify of the following:
`root(4)1250/root(4)2`
Simplify: \[\frac{7 + 3\sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3\sqrt{5}}{3 - \sqrt{5}}\]
If \[a = \sqrt{2} + 1\],then find the value of \[a - \frac{1}{a}\].
If \[x = 3 + 2\sqrt{2}\],then find the value of \[\sqrt{x} - \frac{1}{\sqrt{x}}\].
If \[\frac{\sqrt{3 - 1}}{\sqrt{3} + 1}\] =\[a - b\sqrt{3}\] then
Rationalise the denominator of the following:
`1/(sqrt5+sqrt2)`
`root(4)root(3)(2^2)` equals to ______.
Find the value of a and b in the following:
`(5 + 2sqrt(3))/(7 + 4sqrt(3)) = a - 6sqrt(3)`
If `x = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2))` and `y = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2))`, then find the value of x2 + y2.
Find the value of `4/((216)^(-2/3)) + 1/((256)^(- 3/4)) + 2/((243)^(- 1/5))`
