Question

10x/5x to the third power

Answer 1

10x/5x to the third power is 8

Solution:

Given that the statement is 10x/5x to the third power

The statement 10x/5x to the third power can be written as

`((10x)/(5x))^3`

Lets first simplify
`(10x)/(5x)` by removing common elements from numerator and denominator

We get,

`(10 x)/(5 x)=(2 * 5 * x)/(5 * x)=2`

On taking cube on both sides,

`((10x)/(5x))^3 = 2^3`

`2^3 = 2 * 2 * 2`

`2^3 = 8`

Hence third power of 10x/5x is 8.