Question

Please answer fast for brainest ...find the value of (3375)⅓ in steps please

Answer 1

find using prime factorisation.
3375 = 3×3×3×5×5×5
3375=3^3 × 5^3
For cube root cancel the power 3
so the answer is 5×3 = 15

Answer 2

Concept

• In mathematics, the cube root of the number x is the number y such that y³ = x.
• Every non-zero real number has exactly one real cube root and a pair of complex conjugate cube roots, and every non-zero complex number has three different complex cube roots.

Given

The (3375)⅓ is given

Find

The cube root of (3375)⅓

Solution

The steps are as follow:

• The factorisation of 3375 is given in an image below
• By doing factorisation of 3374 we get 3375= 3*3*3*5*5*5
• We will make the pair of three numbers and take them as one
• So 3375 = 3*5 = 15

Hence the value of (3375)⅓ will be 15

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