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
Find:-
`64^(1/2)`
Simplify the following:
`(2x^-2y^3)^3`
Prove that:
`(x^a/x^b)^cxx(x^b/x^c)^axx(x^c/x^a)^b=1`
Prove that:
`1/(1 + x^(b - a) + x^(c - a)) + 1/(1 + x^(a - b) + x^(c - b)) + 1/(1 + x^(b - c) + x^(a - c)) = 1`
Solve the following equation for x:
`4^(2x)=1/32`
Solve the following equations for x:
`2^(2x)-2^(x+3)+2^4=0`
Show that:
`[{x^(a(a-b))/x^(a(a+b))}div{x^(b(b-a))/x^(b(b+a))}]^(a+b)=1`
Show that:
`{(x^(a-a^-1))^(1/(a-1))}^(a/(a+1))=x`
The value of \[\left\{ \left( 23 + 2^2 \right)^{2/3} + (140 - 19 )^{1/2} \right\}^2 ,\] is
If \[\sqrt{2} = 1 . 4142\] then \[\sqrt{\frac{\sqrt{2} - 1}{\sqrt{2} + 1}}\] is equal to
