Answer:
The number for the given statement is 4
Step-by-step 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
[tex]\dfrac{n^{11}}{n^{8}}[/tex] = 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
[tex]n^{11-8}[/tex] = 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
