SOLUTION: Consider the integers 𝑚 = 2^3 and 3^2 × 5^3 × 7^4× 11^2 × 13^5 × 17^4 and 𝑛 = 2^5 × 7^8 × 19^9. Note that 2^3 is a factor of both m and n. Show that 2^3is a factor

Algebra ->  Exponents -> SOLUTION: Consider the integers 𝑚 = 2^3 and 3^2 × 5^3 × 7^4× 11^2 × 13^5 × 17^4 and 𝑛 = 2^5 × 7^8 × 19^9. Note that 2^3 is a factor of both m and n. Show that 2^3is a factor       Log On


   



Question 1192954: Consider the integers 𝑚 = 2^3 and 3^2 × 5^3 × 7^4× 11^2 × 13^5 × 17^4 and 𝑛 = 2^5 × 7^8 × 19^9.
Note that 2^3 is a factor of both m and n. Show that 2^3is a factor of m+n.
All steps must be shown and connected to all information provided in the expressions. No credit is given if explanations are not provided.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

Common factor of addends is a factor of the sum, ALWAYS.


It is what you need to know and to apply in this special case to get your answer.