Advertisements
Advertisements
प्रश्न
Show that:
`((a+1/b)^mxx(a-1/b)^n)/((b+1/a)^mxx(b-1/a)^n)=(a/b)^(m+n)`
Advertisements
उत्तर
`((a+1/b)^mxx(a-1/b)^n)/((b+1/a)^mxx(b-1/a)^n)=(a/b)^(m+n)`
`=(((ab+1)/b)^mxx((ab-1)/b)^n)/(((ab+1)/a)^mxx((ab-1)/a)^n)`
`=(((ab+1)/b)/((ab+1)/a))^mxx(((ab-1)/b)/((ab-1)/a))^n`
`=((ab+1)/bxxa/(ab+1))^mxx((ab-1)/bxxa/(ab-1))^n`
`=(a/b)^mxx(a/b)^n`
`=(a/b)^(m+n)`
APPEARS IN
संबंधित प्रश्न
Show that:
`(x^(a-b))^(a+b)(x^(b-c))^(b+c)(x^(c-a))^(c+a)=1`
Find the value of x in the following:
`2^(x-7)xx5^(x-4)=1250`
If `3^(x+1)=9^(x-2),` find the value of `2^(1+x)`
If 24 × 42 =16x, then find the value of x.
Write \[\left( \frac{1}{9} \right)^{- 1/2} \times (64 )^{- 1/3}\] as a rational number.
If x is a positive real number and x2 = 2, then x3 =
If x = \[\frac{2}{3 + \sqrt{7}}\],then (x−3)2 =
Find:-
`32^(1/5)`
Find:-
`125^((-1)/3)`
Simplify:
`7^(1/2) . 8^(1/2)`
