Question

Simplify (2^2•5)^3/2^5•5^8

Answer 1

`2^(17)`

Explanation:

`(2^(2 * 5))^3/(2^5 * 5^8)`

`(2^(10))^3/(2^(5+8))`

`2^(10 * 3)/(2^(5+8))`

`2^(30)/(2^(13))`

`2^(30-13)`

`=2^(17)`

Answer 2

Explanation:

`((2^(2)*5)^(3))/(2^(5)*5^(8))=((2^(2))^(3)*5^(3))/(2^(5)*5^(8))\\\\=(2^(6)*5^(3))/(2^(5)*5^(8))\\\\=(2^(6-5))/(5^(8-3))\\\\=(2^(1))/(5^(5))\\\\=(2)/(5^(5))`