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a, 4 8 . 4 10 = 4 18
b, 2 20 . 2 7 = 2 27
c, 5 12 . 5 5 . 5 4 = 5 21
d, 4 3 . 4 5 . 4 5 = 4 13
e, 8 6 . 8 5 . 8 5 = 8 16
f, x 7 . x 4 . x 3 = x 14
a) \(8=2^3\)
\(16=4^2\)
\(27=3^3\)
\(81=9^2\)
\(100=10^2\)
b) \(1000=10^3\)
\(1,000,000=10^6\)
\(1,000,000,000=10^9\)
100.000 } 12 chữ số 0 = 10^12
a: \(4^8\cdot2^{20}=\left(2^2\right)^8\cdot2^{20}=2^{16}\cdot2^{20}=2^{16+20}=2^{36}\)
\(9^{12}\cdot27^5\cdot81^4=\left(3^2\right)^{12}\cdot\left(3^3\right)^5\cdot\left(3^4\right)^4\)
\(=3^{24}\cdot3^{15}\cdot3^{16}=3^{24+15+16}=3^{55}\)
\(64^3\cdot4^5\cdot16^2=\left(4^3\right)^3\cdot4^5\cdot\left(4^2\right)^2=4^9\cdot4^5\cdot4^4=4^{9+5+4}=4^{18}\)
b: \(25^{20}\cdot125^4=\left(5^2\right)^{20}\cdot\left(5^3\right)^4=5^{40}\cdot5^{12}=5^{52}\)
\(x^7\cdot x^4\cdot x^3=x^{7+4+3}=x^{14}\)
\(3^6\cdot4^6=\left(3\cdot4\right)^6=12^6\)
c: \(8^4\cdot2^3\cdot16^2=\left(2^3\right)^4\cdot2^3\cdot\left(2^4\right)^2\)
\(=2^{12}\cdot2^3\cdot2^8=2^{23}\)
\(y\cdot y^7=y^{1+7}=y^8\)
\(2^3\cdot2^2\cdot8^3=2^5\cdot\left(2^3\right)^3=2^5\cdot2^9=2^{5+9}=2^{14}\)
