Advertisements
Advertisements
प्रश्न
Simplify the following:
`(5xx25^(n+1)-25xx5^(2n))/(5xx5^(2n+3)-25^(n+1))`
Advertisements
उत्तर
`(5xx25^(n+1)-25xx5^(2n))/(5xx5^(2n+3)-25^(n+1))`
`=(5xx(5^2)^(n+1)-(5^2)xx5^(2n))/(5xx5^(2n+3)-(5^2)^(n+1))`
`=(5xx(5^(2n+2))-(5^2)xx5^(2n))/(5xx5^(2n+3)-5^(2n+2))`
`=(5^(1+2n+2)-5^(2+2n))/(5^(1+2n+3)-5^(2n+2))`
`=(5^(2+2n)(5-1))/(5^(2+2n)(5^2-1))`
`=(5-1)/((5^2)-1)`
`=(5-1)/(25-1)`
`=4/24`
`=1/6`
APPEARS IN
संबंधित प्रश्न
If a = 3 and b = -2, find the values of :
aa + bb
Prove that:
`sqrt(1/4)+(0.01)^(-1/2)-(27)^(2/3)=3/2`
If `3^(x+1)=9^(x-2),` find the value of `2^(1+x)`
If a and b are distinct primes such that `root3 (a^6b^-4)=a^xb^(2y),` find x and y.
If a and b are different positive primes such that
`((a^-1b^2)/(a^2b^-4))^7div((a^3b^-5)/(a^-2b^3))=a^xb^y,` find x and y.
The value of x − yx-y when x = 2 and y = −2 is
`(2/3)^x (3/2)^(2x)=81/16 `then x =
If x is a positive real number and x2 = 2, then x3 =
Find:-
`125^(1/3)`
Simplify:
`(1^3 + 2^3 + 3^3)^(1/2)`
