Question

5. Efectuați:
(4³¹+6×32¹² -5×16¹⁵): (8²¹- 5×8²⁰) - 1​

Answer 1

Răspuns:

Explicație pas cu pas:

(4³¹+6×32¹² -5×16¹⁵): (8²¹- 5×8²⁰) - 1​=

(4^31+6×16^12×2^12-5×16^15):8^20(8-5)-1

=(4^31+6×4^24×4^6-5×4^30):3×8^20-1=

4^30(4+6-5):3×2^60-1=

=2^60×5:3×2^60-1=5/3-1=2/3

Answer 2

Răspuns:

$(4^{31}+6*32^{12} -5*16^{15}): (8^{21}- 5*8^{20}) - 1\\\\(2^{2*31}+6*2^{5*12} -5*2^{4*15}): [8^{20}*(8- 5)] - 1\\\\(2^{62}+6*2^{60} -5*2^{60}): [8^{20}*(8- 5)]\\\\(2^{62}+2^{60} ): (8^{20}*3)- 1\\\\2^{60} * (2^{2}+1 ): [(2^{3})^{20}*3)]- 1\\\\2^{60} * (4+1 ): (2^{3*20}*3)- 1\\\\2^{60} * 5: (2^{60}*3)- 1\\\\5:3-1\\\\\frac{5}{3} -1\\\\\frac{5-3}{3} \\\\\boxed{\frac{2}{3} }$