Question

Simplify:
25×5⁶×t⁴/ 10⁶×2³×t⁸​

Answer 1

Answer:

25 can be written as 5^2

and similarly 10 can be written as (2×5)^6

5^2 × 5^6 × t^4/ 2^6 × 5^6 ×2^3 × t ^8

5^(2+6-6) ×t ^ (4-8) / 2^(6+3)

5^2 × t^(-4)/ 2^9

if numbers having same base are multiplied then their powers are added and if they are divided then the powers get subtracted