The sum of the digits of integer z is 186 and $z=10^n -4$ . What is the value of positive integer $n$ ?

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What this question tests

Your grasp of exponent rules — multiplying and dividing powers, power-of-a-power, and negative/zero exponents.

Adding exponents when multiplying bases that have the same exponent, or confusing (x^a)^b with x^(a·b).

The sum of the digits of integer z is 186 and z=10n−4z=10^n -4z=10n−4. What is the value of positive integer nnn?