Question

Vă rog! Exercitiul din imagine!
Mulțumesc anticipat!(+ coroană)

Answer 1

a)

=> 5^-2 * (-5/3)^3 -3^5*27^-2 +(-6/9)^2

=> 5^-2 * (-5/3)^3 -3^5*27^-2 +(-2/3)^2

=> 5^-2* -(5/3)^3 -3^5*3^-6+4/9

=> -1/5^2*125/27-3^-1+4/9

=> -1/5^2 * 5^3/27-1/3+4/9

=> -5/27-1/3+4/9

=> -5-9+12/27

=-2/27

b)

=> (2/5)^-2 : [(-2)^-1]^3 -(-343)*7^-6*7^5

=> (2/5)^-2 : (-2)^-3+343*7^-6*7^5

=> (2/5)^-2 : (-2^-3)+343*7^-1

=> -(5/2)^2* 2^3+343*1/7

=> -25/4*2^3+49

=> -25/2^2 *2^3+49

=> -25*2+49

=> -50+49

=-1

c) Prima paranteza

=> [1/3^17-8]^-5 -11^-2*11^4

=> 1/(1/3^17-8)^5 - 11^2

=> 1/(1-8*3^17/3^17)^5 -121

=> 1/(1-8*3^17)^5/3^85 - 121

=> 3/85/(1-8*3^17)^5 -121 - rezultatul primei paranteze.

A doua paranteza

=> 3*3^-18-2^-15-121

=> 3*3^-18-1/2^15-121

=> 3^-17-1/32768 -121

=> 1/3^17-1/32768 -121

=> 3/85/(1-8*3^17)^5 -121

3/85/(1-8*3^17)^5 -121 : 3/85/(1-8*3^17)^5 -121

=1