Question

3. Efectuează: a) (4° +4¹ +42)5:214+ 210: b) [62024:361010+ (511)3: 2515 - 2023°] - [(35)4:98 +12026]; c) 624 : 623-6-(254)5:53⁹; d) [(11-02023) - (33-3²) + 12025]-(3²-2³) -3²-2.​

Answer 1

Salut!

a)

$(4^0 +4^1 +4^2)^5 :21^4 +21^0=\\=(1+4+16)^5 : 21^4 +1=\\=21^5 : 21^4 +1=\\=21+1\\=22$

b)

$[6^{2024} : 36^{1010} +(5^{11})^3:25^{15}-2023^0]-[(3^5)^4:9^8+1^{2026}]\\=[6^{2024}:6^{2020}+5^{33}:5^{30}-1]-[3^{20}:3^{16}+1]=\\=(6^4+5^3-1)-(3^4+1)=\\=(1296+125+1)-(81+1)=\\=1422-82=\\=1340$

c)

$6^{24}:6^{23}*6-(25^4)^5:5^{39}=\\=6*6-(5^8)^5:5^{39}=\\=36-5^{40}:5^{39}=\\=36-5=\\=31$

d)

$[(11-0^{2023})*(3^3-3^2)+1^{2025}]*(3^2-2^3)-3^2*2=\\=[(11-0)*(27-9)+1]*(9-8)-9*2=\\=(11*18+1)*1-18=\\=198*1-18=\\=198-18=\\=180$

Sper că ai înțeles!