We are required to find the unknown number
The unknown number is 6
let
the unknown number = x
A number to the 8th power = x^8
the same number to the 5th power = x^5
x^8 ÷ x^5 = 216
According to the law of indices, an exponent divided by another exponent will be subtracted from each other.
x^8 ÷ x^5 = 216
pick one of the base because it has same base, x
x^(8-5) = 216
x³ = 216
find a number raised to 3 to give 216 to eliminate the power
x³ = 6³
eliminate the powers
x = 6
Therefore, the unknown number is 6
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