Question

A number to the 11th power divided by the same number to the 8th power equals 64. What is the number

Answer 1

The number for the given statement is 4

Explanation:

Given as :

The statement is written as

A number to the 11th power divided by the same number to the 8th power equals 64.

Let the number = n

So, As per statement

`(n^(11))/(n^(8))` = 64

Now, from the indices method

I.e if the base of the indices are same then the power are subtracted

So, Here the base is n and the power is 11 , 8

So, this can be written as

`n^(11-8)` = 64

Or, n³ = 64

I.e n = ∛64

So, The cube root of 64 is 4

So, number = n = 4

Hence The number for the given statement is 4 Answer