Question

What is 2/7 to the power of negative 3?

Answer 1

`(343)/(8)`

Explanation:

`((2)/(7)) ^(-3)`

Change the sign of the exponent by rewriting the base as its reciprocal.

`((7)/(2)) ^(3)`

Raise 7 & 2 to the power of 3.

`(7^(3) )/(2^(3) )` =
`(343)/(8)`

So, the answer is
`(343)/(8)`