Question

Помогите сократить: $frac{100^n}{5^2n-1*4^n-2}$

Answer 1

100ⁿ/(5²ⁿ⁻¹*4ⁿ⁻²)=100ⁿ/((5²ⁿ/5)*(4ⁿ/4²))=100ⁿ/((25ⁿ*4ⁿ)/80)=100ⁿ/(100ⁿ/80)=80.