Question

What is the cube root if 157464

Answer 1

Answer:

Factors of 157464 = 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3

157464 = 2³ * 3^9

cube rooting both sides we get,

(157464)^1/3 = (2³*3^9)^1/3

now we know that ,

(a*b)^x = (a^x*b^x)

(a^x)^y = a^xy

(157464)^1/3 = (2³^1/3 * 3^9^1/3)

(157464)^1/3 = 2*3³

(157464)^1/3 = 2*27

(157464)^1/3 = 54 (Ans)

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