SN
H24
23 tháng 8 2023 lúc 21:32

\(a,27^3:3^3=\left(3^3\right)^3:3^3=3^9:3^3=3^3=27\)

\(b,\left(\dfrac{3}{5}\right)^{15}:\left(\dfrac{9}{25}\right)^5=\left(\dfrac{3}{5}\right)^{15}:\left[\left(\dfrac{3}{5}\right)^2\right]^5\)

\(=\left(\dfrac{3}{5}\right)^{15}:\left(\dfrac{3}{5}\right)^{10}=\left(\dfrac{3}{5}\right)^5=\dfrac{243}{3125}\)

\(c,\dfrac{20^5.5^{10}}{100^5}=\dfrac{20^5.5^{10}}{\left(20.5\right)^5}\)

\(=\dfrac{20^5.5^{10}}{20^5.5^5}=5^5=3125\)

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