How would I write 3/8^2.5 in radical form?

1 Answer
Mar 28, 2018

= (sqrt(6))^(5)/1024

Or,

= (sqrt(6^5)/1024)

Explanation:

(3/8)^2.5 "=> (3/8)^(5/2)

= sqrt((3/8)^5)

= (sqrt(3/8))^(5)

= (sqrt((3x8)/(8x8)))^(5)

= (1/8(sqrt(6x4)))^(5)

= (2/8(sqrt(6)))^(5)

= (1/4(sqrt(6)))^(5)

= (1/4(sqrt(6)))^(5)

= (sqrt(6))^(5)/1024

Or,

= (sqrt(6^5)/1024)