#01. Simplify. (a) ((1)/(2)x^(4))(16x^(5)) (b) (-3x^(-2))(4x^(4)) (c) ((2x^(3))(3x^(2)))/((x^(2))^(3)) (d) ((2x^(2))^(3)y^(2))/(4x^(4)y^(2)) (e) ((1)/(6)a^(5))(-3a^(2))(4a^(7)) (f) ((6x^(3))^(2))/((2x^(2))^(3))(3x^(2))^(0) (g) ((4a^(2)b)/(a^(3)b^(2)))((5a^(2)b)/(2b^(4))) (h) ((1)/(3)x^(4)y^(-3))^(-2) (i) (3y^(3))^(4)(4y^(2))^(-3) (j) ((3x^(5)y^(4)z)/(x^(0)y^(-3)z))^(2) #02. Simplify the expression and rationalize the denominator when appropriate. (a) sqrt(81) (b) oot(3)(-216) (c) oot(4)(512) (d) (1)/( oot(3)(2)) (e) sqrt((1)/(5)) (f) sqrt(9x^(-4)y^(6)) (g) oot(3)(8a^(6)b^(-3)) (h) oot(4)(81r^(5)s^(8)) (i) sqrt((3x)/(2y^(3))) (j) oot(3)((2x^(4)y^(4))/(9x)) (k) oot(4)((5x^(8)y^(3))/(27x^(2))) (l) oot(4)((5x^(5)y^(-2))^(4)) (m) oot(5)((8x^(3))/(y^(4))) oot(5)((4x^(4))/(y^(2))) (n) sqrt(5xy^(7))sqrt(15x^(3)y^(3)) (o) oot(3)(3t^(4)v^(2)) oot(3)(-9t^(-1)v^(4)) (p) oot(3)((2r-s)^(3)) #01.Simplify (ax16x5 b-3x-24x4 2x3(3x2 (c) x23 2x2y (d) 4x4y2 (e) (6x32 (f) (g) (h) xy-3 (i) 3y44y2-3 (j) 3x5y4z #02.Simplify the expression and rationalize the denominator when appropriate a81 b-216 c/512 (d) 1 (e) (f) 9x-4y6 (g) V8a6b-3 (h) V81r5s8 3x (i) 2y3 [2x4y4 (j) 9x 5x8y3 (k) 27x2 (1) 5x5y-24 (m) n5xy15x3y3 o/3t423/-9t-14 p)2r-s3
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