Question

A number to the 10 power divided by the same number to the 7th power equals 125 what is the number?

Answer 1

The number is 5. All you have to do is make an equation based on the information you have, x will represent the missing number so, x to the power of 10 divided by x to the power of 7 is equal to 125, then solve.

Answer 2

The number is 5

Explanation:

Let the number be x

• A number to the 10th power
  `=`
  `x^(10)`

• A number to the 7th power
  `= x^(7)`

Divided
`x^(10)` by
`x^(7)` equals to 125

`(x^(10) )/(x^(7) ) =` 125

Dividing exponential expressions

`x^(10)` divided by
`x^(7)`
`=`
`x^((10-7)) = x^(3)`

`x^(3) =`
`125`

Cube root on both the side

`\sqrt[3]{x^(3) } = \sqrt[3]{125}`

x
`=` 5