Simplify. Express your answer using positive exponents.277^8/227^6
To simplify the expression, we can simplify the numerator and denominator separately, and then divide the simplified numerator by the simplified denominator.
The numerator, 277^8, can be written as (277^2)^4. Simplifying further, 277^2 = 76729, so (277^2)^4 = (76729)^4.
The denominator, 227^6, can be written as (227^2)^3. Simplifying further, 227^2 = 51529, so (227^2)^3 = (51529)^3.
Now, dividing (76729)^4 by (51529)^3, we get:
(76729)^4 / (51529)^3 = (76729^4) / (51529^3) = 16860984594304081 / 1345350972929.
Therefore, the simplified expression is 16860984594304081 / 1345350972929.