Find the power of (3)/(8)³

Question

Find the power of
`(3)/(8)`³

Answer 1

If is
`(3^3)/(8)` then your answer is

`(3\cdot3\cdot3)/(8)=(27)/(8)`

If is
`\left((3)/(8)\right)^3` then your answer is

`(3)/(8)\cdot(3)/(8)\cdot(3)/(8)=(27)/(512)`

Other method.

Use
`\left((a)/(b)\right)^n=(a^n)/(b^n)`

`\left((3)/(8)\right)^3=(3^3)/(8^3)=(27)/(512)`

Answer 2

`\sf Hello!`


`\sf Since,`


`((\sf a)/(\sf b))^(\sf n)` =
`(\sf a^(n))/(\sf b^(n))`


`\sf Then,`


`((\sf 3)/(\sf 8))^(\sf 3)` =
`(\sf 3^(3))/(\sf 8^(3))` =
`(\sf 27)/(\sf 512)`

~
`\sf iCarl`