Rewrite in radical form.
281/2
√28 = √4 * √7 = 2√7
4√103
103/4
45-3/2 * 452
451/2 = √45 = √9 * √5 = 3√5
m / 4√m
m / m1/4 = m3/4 = 4√m3
24/3
3√24 = 3√16 = 3√8 * 3√2 = 23√2
√3ab
(3ab)1/2 = 31/2 a1/2 b1/2
(283/5)5/6
2815/30 = 281/2 = √28 = √4 * √7 = 2√7
16 / 4√163
16 / 163/4 = 161-3/4 = 161/4 = 4√16 = 2
(256x)1/4
4√256x = 4√256 * 4√x = 4 4√x
(3√2w)5
(2x)5/3 = 25/3 * w5/3 = 321/3 w5/3
3√244 / 24
244/3 / 24 = 241/3 = 3√24 = 3√8 * 3√3 = 23√3
(-64)-1/3
1 / (-64)1/3 = 1 / 3√-64 = 1 / -4
(mn)7/2
√(mn)7 = √(mn)6 * √(mn) = m3n3 √mn
4√18x6y2
(18x6y2)1/4 = 181/4 x3/2 y1/2
4√p * √p3
p1/4 * p3/2 = p7/4 = 4√p7 = 4√p4 * 4√p3 = p 4√p3
2(48/3)-1/4
2(16)-1/4 = 2(1/16)1/4 = 2 4√(1/16) = 2(1/2) = 1
(-2a)4/3
3√(-2a)4 = 3√16a4 = 3√8a3 * 3√2a = 2a 3√2a
8√9x2y12
(9x2y12)1/8 = 91/8 x1/4 y3/2
4√a2b14
a2/4 b14/4 = a1/2 b7/2 = √ab7 = √b6 √ab = b3√ab
4√36w6
(36w6)1/4 = (62w6)1/4 = 61/2 * w3/2
= √6w3 = √w2 √6w = w√6w