Advertisements
Advertisements
प्रश्न
Show that:
`{(x^(a-a^-1))^(1/(a-1))}^(a/(a+1))=x`
उत्तर
`{(x^(a-a^-1))^(1/(a-1))}^(a/(a+1))=x`
LHS = `{(x^(a-a^-1))^(1/(a-1))}^(a/(a+1))`
`={(x^(a-1/a))^(1/(a-1)xxa/(a+1))}`
`={x^((a^2-1)/a)}^(a/(a^2-1))`
`=x^((a^2-1)/axxa/(a^2-1))`
`=x^1`
`= x`
= RHS
APPEARS IN
संबंधित प्रश्न
If `1176=2^a3^b7^c,` find a, b and c.
Assuming that x, y, z are positive real numbers, simplify the following:
`(sqrtx)^((-2)/3)sqrt(y^4)divsqrt(xy^((-1)/2))`
Simplify:
`(0.001)^(1/3)`
Show that:
`(x^(a^2+b^2)/x^(ab))^(a+b)(x^(b^2+c^2)/x^(bc))^(b+c)(x^(c^2+a^2)/x^(ac))^(a+c)=x^(2(a^3+b^3+c^3))`
Find the value of x in the following:
`2^(x-7)xx5^(x-4)=1250`
Find the value of x in the following:
`(13)^(sqrtx)=4^4-3^4-6`
The seventh root of x divided by the eighth root of x is
Which of the following is (are) not equal to \[\left\{ \left( \frac{5}{6} \right)^{1/5} \right\}^{- 1/6}\] ?
Which one of the following is not equal to \[\left( \frac{100}{9} \right)^{- 3/2}\]?
(256)0.16 × (256)0.09
