3 time 9 is 27. 27 times 2 is 54. That is the best I can do, sorry.
27 = 27/1 = (2*27)/2 = (3*27)/3 = ...
2x4 - x3 - 21x2 + 9x + 27 = 0 Let f(x) = 2x4 - x3 - 21x2 + 9x + 27. All possible rational zeros = (factors of the constant term, 27)/(factors of the leading coefficient, 2) = ±1, ±3, ±9, ±27)/(±1, ±2) = ±1, ±3, ±9, ±27, ±1/2, ±3/2, ±9/2, ±27/2. Using synthetic division, test all possible rational zeros: -1] 2 -1 -21 9 27 (2)(-1) = -2; -1 + -2 = -3 (-3)(-1) = 3; -21 + 3 = -18 (-18)(-1) = 18; 9 + 18 = 27 (27)(-1) = -27; 27 + -27 = 0 (the zero remainder shows that -1 is a zero) -3] 2 -1 -21 9 27 (2)(-3) = -6; -1 + -6 = -7 (-7)(-3) = 21; -21 + 21 = 0 (0)(-3) = 0; 9 + 0 = 9 (9)(-3) = -27; 27 + -27 = 0 (the zero remainder shows that -3 is a zero) 3/2] 2 -1 -21 9 27 (2)(3/2) = 3; -1 + 3 = 2 (2)(3/2) = 3; -21 + 3 = -18 (-18)(3/2) = -27; 9 + -27 = -18 (-18)(3/2) = -27; 27 + -27 = 0 (the zero remainder shows that 3/2 is a zero) 3] 2 -1 -21 9 27 (2)(3) = 6; -1 + 6 = 5 (5)(3) = 15; -21 + 15 = -6 (-6)(3) = -18; 9 + -18 = -9 (-9)(3) = -27; 27 + -27 = 0 (the zero remainder shows that 3 is a zero) Thus, the rational zeros are -3, -1, 3/2, and 3.
0.1111
27 is [3 3 3] 45 is [3 3 5] 72 is [2 2 2 3 3]◄
27^(2/3) = [cuberoot(27)]^2 = 3^2 = 9
3 time 9 is 27. 27 times 2 is 54. That is the best I can do, sorry.
27 = 27/1 = (2*27)/2 = (3*27)/3 = ...
12=2*2*3 and 27=3*3*3
2x4 - x3 - 21x2 + 9x + 27 = 0 Let f(x) = 2x4 - x3 - 21x2 + 9x + 27. All possible rational zeros = (factors of the constant term, 27)/(factors of the leading coefficient, 2) = ±1, ±3, ±9, ±27)/(±1, ±2) = ±1, ±3, ±9, ±27, ±1/2, ±3/2, ±9/2, ±27/2. Using synthetic division, test all possible rational zeros: -1] 2 -1 -21 9 27 (2)(-1) = -2; -1 + -2 = -3 (-3)(-1) = 3; -21 + 3 = -18 (-18)(-1) = 18; 9 + 18 = 27 (27)(-1) = -27; 27 + -27 = 0 (the zero remainder shows that -1 is a zero) -3] 2 -1 -21 9 27 (2)(-3) = -6; -1 + -6 = -7 (-7)(-3) = 21; -21 + 21 = 0 (0)(-3) = 0; 9 + 0 = 9 (9)(-3) = -27; 27 + -27 = 0 (the zero remainder shows that -3 is a zero) 3/2] 2 -1 -21 9 27 (2)(3/2) = 3; -1 + 3 = 2 (2)(3/2) = 3; -21 + 3 = -18 (-18)(3/2) = -27; 9 + -27 = -18 (-18)(3/2) = -27; 27 + -27 = 0 (the zero remainder shows that 3/2 is a zero) 3] 2 -1 -21 9 27 (2)(3) = 6; -1 + 6 = 5 (5)(3) = 15; -21 + 15 = -6 (-6)(3) = -18; 9 + -18 = -9 (-9)(3) = -27; 27 + -27 = 0 (the zero remainder shows that 3 is a zero) Thus, the rational zeros are -3, -1, 3/2, and 3.
0.1111
18/27 = (2×9)/(3×9) = 2/3
2*(3*3 + 3*3 + 3*3) = 2*27 = 54 square feet.2*(3*3 + 3*3 + 3*3) = 2*27 = 54 square feet.2*(3*3 + 3*3 + 3*3) = 2*27 = 54 square feet.2*(3*3 + 3*3 + 3*3) = 2*27 = 54 square feet.
9 is a factor of 27 so need not be considered further. 27 = 3*3*3 and 24 = 2*2*2*3 so LCM is 2*2*2*3*3*3 = 216
(y^2 + 3)(y^2 - 3y + 3)(y^2 + 3y + 3)
gcf(12, 48, 27) = 3. 12 = 2^2 x 3 48 = 2^4 x 3 27 = 3^3 hcf = 3
27 is [3 3 3] 45 is [3 3 5] 72 is [2 2 2 3 3]◄