Question

Expand the expression (3/4)^5

Answer 1

An exponent indicates that a number is being multiplied a k number of times by itself. For example, the expression:

`4^3`

Indicates that the number "4" is being multiplied 3 times by itself, the expanded expression would be:

`4\cdot4\cdot4`

For the given exponent number:

`((3)/(4))^5`

It indicates that 3/4 is being multiplied 5 times by itself, the expanded expression would be:

`(3)/(4)\cdot(3)/(4)\cdot(3)/(4)\cdot(3)/(4)\cdot(3)/(4)=(243)/(1024)`