Question

5^20:(5^15.6+5^15.19)

 

Answer 1

\(5^{20}:\left(5^{15}\cdot6+5^{15}\cdot19\right)=5^{20}:\left[5^{15}\cdot\left(6+19\right)\right]=5^{20}:\left(5^{15}\cdot25\right)=5^{20}:\left(5^{15}\cdot5^2\right)=5^{20}:5^{17}=5^3=125\)

Answer 2

`5^20 : (5^15 . 6 + 5^15 . 19)`

`= 5^20 : [5^15 . (6+19)]`

`= 5^20 : [5^15 . 25]`

`= 5^20 : [5^15 . 5^2]`

`= 5^20 : 5^17`

`= 5^3 = 125`