Question

Find the cube root of 3^3 x 5^6 and 2^6 x 3^9.​

Answer 1

Step-by-step explanation:

Cube root of 3^3 x 5^6 = 3 x 5 x 5 = 75

and that of 2^6 x3^9 = 2 x 2 x 3 x 3 x 3 = 108

Answer 2

First,

Cube root of 3^3 x 5^6 :-

cube root(3^3 x 5^6)=3x5^2=3x25=75

{Because, 27 is cube of 3 so its cube root is 3, and similarly, for 5^6, on cubing, 6 is divided by 3, leaving 5^2=25}

Second,

cube root(2^6 x 3^9)=2^2x3^3=4x27=108

{Here also, same step is followed, powers of each term is divided by 3 to get, 2^2x3^3=4x27=108}

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