A and b are positive integers and a−b = 2. Evaluate the following:

27^(1/3b)/9^(1/2a)

9^(1/2b)/3^a

1/9

Step-by-step explanation:

a - b = 2

27^(1/3b)/9^(1/2a)

so...b = a - 2

27^( (1/3)  b ) / 9^((1/2) a )

= (3^3)(1/3b)   over  (3^2)^(1/2a)

= 3^b   over 3^a =    3^ (b - a) =  3^(-2) =  1/9

9^(1/2b)/3^a =  (9^(1/2))^b  / 3^a  =  3^b  / 3^a =   3^(b -a) = 3^-2 = 1/9

rotated. i took the test

step-by-step explanation:

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form