Step-by-step explanation:
[tex]15^{10}+15^{11}+15^{12}+15^{13}[/tex]
You can look at it like this:
[tex]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[/tex]
Answer:
Below.
Step-by-step 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
