Mathematics: 10 points expand the number 1800 into its corresponding exponential form. 2^3 · 3^2 · 5^2 9^2 · 100 8 · 9 · 25 2^2 · 3^3 · 5^2 select expression equal to ^3√320 4 4^3√5 5^3√4 5^3√5

10 points expand the number 1800 into its corresponding

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alexabessin

14.03.2022

$1800|2\\.\ 900|2\\.\ 450|2\\.\ 225|5\\.\ \ 45|5\\.\ \ \ 9|3\\.\ \ \ 3|3\\.\ \ \ 1|\\\\1880=2\cdot2\cdot2\cdot5\cdot5\cdot3\cdot3=2^3\cdot5^2\cdot3^2\\\\\ \boxed{2^3\cdot3^2\cdot5^2}$

$\sqrt[3]{320}\\\\320|2\\160|2\\.\ 80|2\\.\ 40|2\\.\ 20|2\\.\ 10|2\\.\ \ 5|5\\.\ \ 1|\\\\320=2\cdot2\cdot2\cdot2\cdot2\cdo2\cdot5=2^3\cdot2^3\cdot5=2^3\cdot2^3\cdot\\\\\sqrt[3]{320}=\sqrt[3]{2^3\cdot2^3\cdot5}=\sqrt[3]{2^3}\cdot\sqrt[3]{2^3}\cdot\sqrt[3]{5}=2\cdot2\sqrt[3]{5}=4\sqrt[3]5\\\\\ \boxed{\sqrt[3]{320}=4\sqrt[3]{5}}$

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10 points expand the number 1800 into its corresponding exponential form. 2^3 · 3^2 · 5^2 9^2 · 100 8 · 9 · 25 2^2 · 3^3 · 5^2 select expression equal to ^3√320 4 4^3√5 5^3√4 5^3√5

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