Simplify: (i) 10 x 10 x 10 x 10 x 10' x 10°;which is larger: (3*x 2') – InterviewSolution

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1.

Simplify: (i) 10 x 10 x 10 x 10 x 10' x 10°;which is larger: (3*x 2') or (2 x 35?)

Answer»

(1) 10^-1 * 10^2 * 10^-3 * 10^4 * 10^-5 * 10^6

= 10^[-1 + 2 - 3 + 4 - 5 + 6]

= 10^[12 - 9]

= 10^3

= 1000

(2) (3^4 * 2^3) = 81*8 = 648 (2^5 * 3^2) = 32*9 = 288

Therefore, (3^4 * 2^3) is larger

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