Question

PLEASE HELP!!! ASAP!!!!!!!!!!!!!!! 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

Answer 1

1. 8 x9x25=1800 but
They all have factors that can be smaller so
8= 2^3
3=3^2
25= 5^2
So they answer is 2^3 x 3^2 x 5^5

Answer 2

`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\\\\Answer:\ \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\\\\Answer:\ \boxed{\sqrt[3]{320}=4\sqrt[3]{5}}`