Question

What is the simplified form of the following expression? 4/7^3

Answer 1

If your question is :

`(4)/(7^3)`

Then the answer is:

`(4)/(7*7*7) = (4)/(343)`

If your question is:

`((4)/(7)) ^(3)`

Then the answer is:

`(4*4*4)/(7*7*7) = (64)/(343)`

Answer 2

`(64)/(343)`

Explanation:

The given expression is

`((4)/(7))^3`

We need to find the simplified form of the given expression.

Using the distributive power property of exponent the given expression can be rewritten as

`((4)/(7))^3=(4^3)/(7^3)`
`[\because((a)/(b))^x=(a^x)/(b^x)]`

In can be written as

`((4)/(7))^3=(4* 4* 4)/(7* 7* 7)`

On further simplification we get

`((4)/(7))^3=(64)/(343)`

Therefore the simplified form of the given expression is
`(64)/(343)`.