Advertisements
Advertisements
प्रश्न
Which of the following is equal to x?
पर्याय
`x^(12/7) - x^(5/7)`
`root(12)((x^4)^(1/3)`
`(sqrt(x^3))^(2/3)`
`x^(12/7) xx x^(7/12)`
Advertisements
उत्तर
`bb((sqrt(x^3))^(2/3))`
Explanation:
`(sqrt(x^3))^(2/3) = (x^(3/2))^(2/3)`
= `x^(3/2 xx 2/3)` ...`[∵ (a^m)^n = a^(mn)]`
= x
APPEARS IN
संबंधित प्रश्न
Simplify the following
`((4xx10^7)(6xx10^-5))/(8xx10^4)`
Solve the following equation for x:
`4^(x-1)xx(0.5)^(3-2x)=(1/8)^x`
If `a=xy^(p-1), b=xy^(q-1)` and `c=xy^(r-1),` prove that `a^(q-r)b^(r-p)c^(p-q)=1`
Assuming that x, y, z are positive real numbers, simplify the following:
`(sqrtx)^((-2)/3)sqrt(y^4)divsqrt(xy^((-1)/2))`
If `x=2^(1/3)+2^(2/3),` Show that x3 - 6x = 6
When simplified \[\left( - \frac{1}{27} \right)^{- 2/3}\] is
If \[\frac{2^{m + n}}{2^{n - m}} = 16\], \[\frac{3^p}{3^n} = 81\] and \[a = 2^{1/10}\],than \[\frac{a^{2m + n - p}}{( a^{m - 2n + 2p} )^{- 1}} =\]
If 10x = 64, what is the value of \[{10}^\frac{x}{2} + 1 ?\]
Find:-
`125^(1/3)`
Simplify:
`(1^3 + 2^3 + 3^3)^(1/2)`
