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\(4^{50}:8^{10}=\left(2^2\right)^{50}:\left(2^3\right)^{10}\)
\(=2^{100}:2^{30}\)
\(=2^{100-30}\)
\(=2^{70}\)
Chúc bạn hk tốt nha!!!
a: \(4^5\cdot8^7=2^{10}\cdot2^{21}=2^{31}\)
b: \(125^5\cdot25^3=5^{15}\cdot5^6=5^{21}\)
a) \(4^3\cdot32^4\)
\(=\left(2^2\right)^3\cdot\left(2^5\right)^4\)
\(=2^6\cdot2^{20}\)
\(=2^{26}\)
b) \(3^{20}\cdot9^{10}\cdot27^2\)
\(=3^{20}\cdot\left(3^2\right)^{10}\cdot\left(3^3\right)^2\)
\(=3^{20}\cdot3^{20}\cdot3^6\)
\(=3^{46}\)
c) \(3^{10}\cdot7^{10}\)
\(=\left(3\cdot7\right)^{10}\)
\(=21^{10}\)
d) \(6^{15}:6^{14}\)
\(=6^{15-14}\)
\(=6\)
e) \(28^3:7^3\)
\(=4^3\cdot7^3:7^3\)
\(=4^3\)
\(=2^6\)
a: \(A=8^2\cdot32^4=2^6\cdot2^{20}=2^{26}\)
b: \(B=27^3\cdot9^4\cdot243=3^9\cdot3^8\cdot3^5=3^{22}\)
a: \(A=\left(2^3\right)^2\cdot\left(2^5\right)^4=2^6\cdot2^{20}=2^{26}\)
b: \(=\left(3^3\right)^3\cdot\left(3^2\right)^4\cdot3^5=3^9\cdot3^8\cdot3^5=3^{22}\)
\(A=8^2.32^4=\left(2^3\right)^2.\left(2^5\right)^4=2^6.2^{20}=2^{26}\)
\(B=27^3.9^4.243=\left(3^3\right)^3.\left(3^2\right)^4.3^5=3^9.3^8.3^5=3^{22}\)
\(\left(12^8:12\right)\left(243:3^4\right)\cdot\left(10^9:1000\right)\)
\(=12^{8-1}\cdot3^{5-4}\cdot10^{9-3}\)
\(=12^7\cdot3^1\cdot10^6\)