Advertisements
Advertisements
प्रश्न
Evaluate the following:
`(12^2 xx 75^-2 xx 35 xx 400)/(48^2 xx 15^-3 xx 525)`
उत्तर
`(12^2 xx 75^-2 xx 35 xx 400)/(48^2 xx 15^-3 xx 525)`
= `((2^2 xx 3)^2 xx (7 xx 5) xx (2^4 xx 5^2) xx (3 xx 5)^3)/((2^4 xx 3^2) xx (3 xx 5^2 xx 7) xx (3 xx 5^2)^2)`
= `(2^4 xx 3^2 xx 7 xx 5 xx 2^4 xx 5^2 xx 3^3 xx 5^3)/(2^8 xx 3^2 xx 3 xx 5^2 xx 7 xx 3^2 xx 5^4)`
= `(2^(4 + 4) xx 3^(2 + 3) xx 5^(1 + 2 + 3) xx 7)/(2^8 xx 3^(2 + 1 + 2) xx 5^(4 + 2) xx 7)`
= `(2^8 xx 3^5 xx 5^6 xx 7)/(2^8 xx 3^5 xx 5^6 xx 7)`
= 1.
APPEARS IN
संबंधित प्रश्न
Find the values of m and n if :
`4^(2m) = ( root(3)(16))^(-6/n) = (sqrt8)^2`
If `((a^-1b^2 )/(a^2b^-4))^7 ÷ (( a^3b^-5)/(a^-2b^3))^-5 = a^x . b^y` , find x + y.
Evaluate : `4/(216)^(-2/3) + 1/(256)^(-3/4) + 2/(243)^(-1/5)`
Evaluate the following:
`9^(5/2) - 3 xx 5^0 - (1/81)^((-1)/2)`
Evaluate the following:
`(27)^(2/3) xx 8^((-1)/6) ÷ 18^((-1)/2)`
Solve for x:
2x + 3 + 2x + 1 = 320
Solve for x:
1 = px
Solve for x:
5x2 : 5x = 25 : 1
Solve for x:
`sqrt((3/5)^(x + 3)) = (27^-1)/(125^-1)`
Find the value of k in each of the following:
`(sqrt(9))^-7 xx (sqrt(3))^-5` = 3k
