Question

Which expression are equivalent to 13^6 divide by (13^8)(13^-4)/13^-2

Answer 1

Solution :-
→ 13⁶ ÷ [ {13⁸ * 13^(-4)} / 13^(-2) ]
Solving Second part first, we get,
→ [ {13⁸ * 13^(-4)} / 13^(-2) ]
using a^b * a^c = a^(b + c) in Numerator , we get,
→ [ 13^(8 - 4) / 13^(-2) ]
→ 13⁴ / 13^(-2)
→ 13⁴ ÷ 13^(-2)
using a^b ÷ a^c = a^(b - c) now , we get,
→ 13^{4 - (-2) }
→ 13^(4 + 2)
→ 13⁶.
Now , Putting this value in question we get,
→ 13⁶ ÷ 13⁶
→ 1 (Ans.)