Question

What is 180/80=80/80*a^6

Answer 1

`a = \sqrt[3]{(3)/(2)}`

Explanation:

Given

`(180)/(80)=(80)/(80)*a^6`

Required

Solve for a

`(180)/(80)=(80)/(80)*a^6`

`(180)/(80)=1*a^6`

`(180)/(80)=a^6`

`a^6 = (180)/(80)`

`a^6 = (18)/(8)`

`a^6 = (9)/(4)`

Take the square root of both sides

`√(a^6) = \sqrt{(9)/(4)`

`a^3 = (3)/(2)`

Take cube rooth of both sides

`a = \sqrt[3]{(3)/(2)}`