Question

( 2^{x}=3^{-x} )
( frac{2}{1} 2^{x}=frac{1}{3^{x}} geqslant(2 times 3)^{x}=1 )
( f^{x}=1 )
( therefore quad, x=0 )

# MATHEMATICS n- 1. Simplify : (x? n-1 :( x - y 2. Simplify : (a - ) b-b) = (a-! + b )) 3. Simplify : (y-2) (y + 2) +(2-2)(z+x) + (x - y) (x + y) 4. Multiply : (a + b + c)(a + b + c2 - ab – bc - ca) 5. If x= al-m, y=6m -n, z=cn-l, find the simplest value of x (l+ m) + y (m + n) + z(n+1) 6. Express 2,00,000 in standard form. 7. If a = 1, b=2, c = 3, d = 4, ....y = 25, z=26, evaluate (x - a) (x - )(x-c) ...... (x - 2). 8. Find x, if 2* = 3-*. mm/n 9. If m" = n", prove that " = m mln . Hence find m, n if m= 2n. 10. If x ** = (x Vx), find x. SOCIAL SCIENCE 1. Define the following:

Solution