Question

[ngu như bây]

tính

a,\(12^n:2^{2n}\)

b,\(3^8:3^4+2^2.2^3\)

c,\(\left(7^{1997}-7^{1995}\right).\left(7^{1994}.7\right)\)

d,\(4^{14}.5^{28}\)

e,\(3.4^2-2.3^2\)

m,\(18^3:9^3\)

n,\(\left(2^8+8^3\right):\left(2^5.2^3\right)\)

f,\(16.64.8^2:\left(4^3.2^5.16\right)\)

p,\(5.2^9.6^{10}-7.2^{29}.27^6\)

ai nhanh và đúng mk tick cho

sớm nhất có thể nhé

Answer 1

[Luân Đào]

\(12^n:2^{2n}=3^n.\left(2^2\right)^n:2^{2n}=3^n.2^{2n}:2^{2n}=3^n\)

\(3^8:3^4+2^2.2^3=3^4+2^5=81+32=113\)

\(\left(7^{1997}-7^{1995}\right)\left(7^{1994}\cdot7\right)=7^{1995}\left(7^2-1\right)\cdot7^{1995}=7^{1995\cdot2}\cdot48=7^{3990}\cdot48\)

\(4^{14}\cdot5^{28}=4^{14}\cdot\left(5^2\right)^{14}=\left(4\cdot25\right)^{14}=100^{14}\)

\(3\cdot4^2-2\cdot3^2=3\cdot2^4-2\cdot3^2=6\left(2^3-3\right)=6\cdot5=30\)

\(18^3:9^3=\left(18:9\right)^3=2^3=8\)

\(\left(2^8+8^3\right):\left(2^5\cdot2^3\right)=\left(2^8+2^9\right):2^8=\dfrac{2^8}{2^8}+\dfrac{2^9}{2^8}=1+2=3\)

\(16\cdot64\cdot8^2:\left(4^3.2^5.16\right)=2^4\cdot2^6\cdot2^6:\left(2^6\cdot2^5\cdot2^4\right)=2\)

\(5\cdot2^9\cdot6^{10}-7\cdot2^{29}\cdot27^6=5\cdot2^9\cdot2^{10}\cdot3^{10}-7\cdot2^{29}\cdot3^{18}=2^{19}\cdot3^{10}\left(5\cdot3^{10}-7\cdot2^{10}\cdot8\right)\)