A few days ago
Mavis

Hi. I need help with exponents.?

So I’m studying for a graduate exam coming up next week and I run into this problem below. I know it should be really easy but I can’t figure it out. If you happen to know the rules when it comes to adding or multiplying number with exponents that same different bases that would help too. Thanks!

5^11 * 4 ^10 = 2 x 10^n Please help solve for n.

Top 1 Answers
A few days ago
supensa

Favorite Answer

I hope you wrote this correctly, because while solving it’s a bit more complicated than it should be.

Anyway, since you can’t add the exponents since the bases are different, you’ll actually have to evaluate:

5^11 * 4^10 = 2(10^n)

48828125 * 1048576 = 2(10^n)

51200000000000 = 2(10^n)

25600000000000 = 10^n

log(2560000000000) = log(10^n)

13.7093 = n

0