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Step-by-step explanation:
i.) cube root(0.216)
cube root(0.6 * 0.6 * 0.6)[Factorization]
cube root[(0.6)^3]
[(0.6)^3]^1/3
=0.6
ii.) cube root(4.096)
cube root(1.6 * 1.6 * 1.6)[Factorization]
cube root[(1.6)^3]
=[(1.6)^3]^1/3
=1.6
iii.) cube root (0.003375)
=cube root(0.15 * 0.15 * 0.15)[Factorization]
cube root[(0.15)^3]
=[(0.15)^3]^1/3
=0.15
8. Show that cube root(27) * cube root(125) = cube root(27 * 125)
= cube root(3 * 3 * 3) * cube root(5 * 5 * 5) = cube root(3375)
= cube root ([3]^3) * cube root([5]^3] = 15[prime Factorization method]
= 3 * 5 = 15
15 = 15
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