Question

Calculati numarul A=3^2•(2^50+|2^50-3^34|):(-9)^16/3^7-2•3^6-2•3^5, scriind rezultatul sub forma de fractue zecimala.

Answer 1

Răspuns:

Explicație pas cu pas:

A = 3²·(2⁵⁰ + I2⁵⁰-3³⁴I ): (-9)¹⁶:3⁷ - 2·3⁶-3⁵

2⁵⁰  si 3 ³⁴ <=> 2¹⁷ˣ³⁻¹ si 3¹⁷ˣ² <=> (2³)¹⁷ : 2   si (3²)¹⁷ =>

8¹⁷ : 2  si 9¹⁷  => 9¹⁷ > 8¹⁷:2  => 3³⁴ > 2⁵⁰ =>

I2⁵⁰-3³⁴I = 3³⁴-2⁵⁰

A = 3²·(2⁵⁰+3³⁴-2⁵⁰):3²ˣ¹⁶:3⁷-2·3⁶-3⁵

A = 3²·3³⁴:3³²:3⁷-2·3⁶-3⁵

A = 3²⁺³⁴⁻³²⁻⁷-2·3⁶-3⁵

A = 3⁻³-2·3⁶-3⁵

A = 1/27 - 3⁵(2·3-1)

A = 1/27 - 3⁵·5

A = (1-3⁵·5·27)/27

A = (1-32805)/27

A = -1214,(962)

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