Advertisements
Advertisements
प्रश्न
Evaluate the following:
`(2^6 xx 5^-4 xx 3^-3 xx 4^2)/(8^3 xx 15^-3 xx 25^-1)`
Advertisements
उत्तर
`(2^6 xx 5^-4 xx 3^-3 xx 4^2)/(8^3 xx 15^-3 xx 25^-1)`
= `(2^6 xx (2^2)^2 xx (3 xx 5)^3 xx (5^2)^1)/((2^3)^3 xx 5^4 xx 3^3)`
= `(2^(6 + 4) xx 3^3 xx 5^(3 + 2))/(2^9 xx 3^3 xx 5^4)`
= `2^(10 - 9) xx 5^(5 - 4)`
= 2 x 5
= 10.
APPEARS IN
संबंधित प्रश्न
Solve for x : (49)x + 4 = 72 x (343)x + 1
Find x, if : `(root(3)( 2/3))^( x - 1 ) = 27/8`
Solve for x : (a3x + 5)2. (ax)4 = a8x + 12
If 5x + 1 = 25x - 2, find the value of 3x - 3 × 23 - x.
Solve : 3x-1× 52y-3 = 225.
If `((a^-1b^2 )/(a^2b^-4))^7 ÷ (( a^3b^-5)/(a^-2b^3))^-5 = a^x . b^y` , find x + y.
If m = `root(3)(15) and n = root(3)(14), "find the value of " m - n - 1/[ m^2 + mn + n^2 ]`
Evaluate the following:
`16^(3/4) + 2(1/2)^-1 xx 3^0`
Solve for x:
2x + 3 + 2x + 1 = 320
Solve for x:
`"p"^-5 = (1)/"p"^(x + 1)`
