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a)\(\dfrac{45^{10}.5^{20}}{75^{15}}=\dfrac{5^{10}.3^{20}.5^{20}}{3^{15}.5^{30}}=\dfrac{5^{30}.3^{20}}{3^{15}.5^{30}}=3^5\)
Các câu sau tương tự
b)\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(2.0,4\right)^5}{\left(0,4\right)^6}=\frac{2^5.\left(0,4\right)^5}{\left(0,4\right)^6}=\frac{2^5}{0,4}=\frac{2^5}{\frac{2}{5}}=\frac{2^4}{5}=\frac{16}{5}\)
c)\(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.3^{12}}{3^6.2^6.2^9}=3^6\)
a)\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{15^{10}.3^{10}.5^{20}}{5^{15}.15^{15}}=\frac{3^{10}.5^5}{15^5}=\frac{3^{10}.5^5}{5^5.3^5}=3^5\)
b) \(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
\(=\dfrac{\left(0,8\right)^5}{\left(0.4\right)^5\cdot0,4}\)
\(=\left(\dfrac{0,8}{0,4}\right)^5\cdot\dfrac{1}{0,4}\)
\(=2^5\cdot\dfrac{5}{2}\)
\(=\dfrac{2^5\cdot5}{2}\)
\(=2^4\cdot5\)
\(=80\)
c) \(\dfrac{2^{15}\cdot9^4}{6^6\cdot8^3}\)
\(=\dfrac{2^{15}\cdot\left(3^2\right)^4}{2^6\cdot3^6\cdot\left(2^3\right)^3}\)
\(=\dfrac{2^{15}\cdot3^8}{2^{15}\cdot3^6}\)
\(=\dfrac{3^2}{1}\)
\(=9\)
\(\dfrac{\text{45^{10^{ }}}.5^{10}}{75^{10}}=\dfrac{9^{10}.5^{10}.5^{10}}{5^{10}.5^{10}.3^{10}}=\dfrac{9^{10}}{3^{10}}=3^{10}\)
\(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}=\dfrac{2^5.\left(0,4\right)^5}{\left(0,4\right)^6}=\dfrac{2^5}{0,4}=\dfrac{32}{0,4}=80\)
a) 4
b) 80
c) 243
d) 9
bạn tự giải ra nhé!mk làm tắt thui