Question

What is 15^10 + 15^11 + 15^12+ 15^13

Answer 1

Below.

Explanation:

15^10 + 15^11 + 15^12+ 15^13

= 15^10(1 + 15 + 15^2 + 15^3)

= 15^10 * 3616

= 2,085,167,812,500,000

Answer 2

Explanation:

`15^(10)+15^(11)+15^(12)+15^(13)`

You can look at it like this:

`15^(10)+15^(11)+15^(12)+15^(13)=15^(10)+15^(10)\cdot15+15^(10)\cdot15^2+15^(10)\cdot15^3\\\\=15^(10)\cdot(1+15+15^2+15^3)=15^(10)\cdot(1+15+225+3375)\\\\=15^(10)\cdot3616=15^(10)\cdot32\cdot113=15^(10)\cdot2^5\cdot113=2.085.167.812.500.000`