Question

Find the cube root of -125 × -3375

Answer 1

Answer:

$Resolving 27 and 64 into prime factors, we get</p><p>327=(3×3×3)31=(33)31</p><p>327=3</p><p>364=(2×2×2×2×2×2)31</p><p>=(26)31=22=4</p><p>363=4</p><p>327×64=327×364</p><p>=3×4</p><p>327×64=12</p><p></p><p>$

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Answer 2

∛(-125 × -3375)

= ∛(-125) × ∛(-3375)

= ∛(-5×-5×-5) × ∛(-15×-15×-15)

= -5×-15

= 75

          OR

∛(-125 × -3375)

= ∛(421875)

= ∛(75×75×75)

= 75

Hence, the value of ∛(-125 × -3375) is 75.