Question

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

Answer 1

d) Transform fractiile

=> (-2/10)^-3*[5^6*5^-3]^-1-[-3/9+(-3)^-2]^-1

=> -(2/10)^-3*(5^3)^-1-(-1/3+3^-2)^-1

=> -(2/10)^-3 *5^3-(-1/3+1/3^2)^-1

=> -(2/10*5)^-3 - (-1/3+1/9)^-1

=> -(1/5*5)^-3 - (-2/9)^-1

=> -1^-3 - (-9/2)

=> -1+9/2

=> -2+9/2

= -7/2

e)

=> {[(-5/6)^3]^12 : -(5/3)^15*5/2^20} : 125^14*5/8^20*27^8

=> [(5/6^36): -(5/3)^15*5/2^20] : 125^14*5/8^20*27^8

=> (-5^36/6^36:5^15/3^15*5^20/2^20) : 125^14*5/8^20*27^8

=> (-5^36/6^36*3^15/5^15*5^20/2^20) : 125^14*5/8^20*27^8

=> (-5^21/6^36*3^15*5^20/2^20) : 125^14*5/8^20*27^8

=> (-5^41*3^15/6^36*2^20) : 125^14*5/8^20*27^8

=> -5^41*3^15/6^36*2^20 * 8^20 * 27^8/125^14*5

=> -5^40*3^15/6^36 * 4^20*27^8/5^42

=> -3^15/6^36*4^20*27^8/5^2

=> -3^15/6^36*4^20*27^8/25

=> -3^15*4^20*27^8/25*6^36

=> -3^15*4^20*3^24/25*6^36

= -3^39*4^20/25*6^36

Sper sa te ajute!