Question

comparati numerele a și b, unde: a=[(2³)⁵+25³-7³⁵:7²⁰]:(2¹⁵-7¹⁵+5⁶)×3²⁶; b=2¹⁰¹:[(5¹⁷¹:5¹⁷⁰-3)⁹⁸+2¹⁰⁵:(2³×2⁴)+(2¹¹)⁹]×2³⁸

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Answer 1

Răspuns:

a=[(2³)⁵+25³-7³⁵:7²⁰]:(2¹⁵-7¹⁵+5⁶)×3²⁶

a=[(2¹⁵ + 5⁶-7¹⁵]:(2¹⁵-7¹⁵+5⁶)·3²⁶

a=1·3²⁶=3²⁶

a=3²⁶=(3²)¹³=9¹³

b=2¹⁰¹:[(5¹⁷¹:5¹⁷⁰-3)⁹⁸+2¹⁰⁵:(2³×2⁴)+(2¹¹)⁹]×2³⁸

b=2¹⁰¹:[(5-3)⁹⁸+2¹⁰⁵:2⁷+2⁹⁹]·2³⁸

b=2¹⁰¹:[2⁹⁸+2⁹⁸+2⁹⁹]*2³⁸

b=2¹⁰¹¹:[2⁹⁸(1+1+2)]·2³⁸

b=2¹⁰¹:(2⁹⁸·2²)·2³⁸

b=2¹⁰¹:2¹⁰⁰·2³⁸

b=2·2³⁸

b=2³⁹

b=2³⁹=(2³)¹³=8¹³

a > b