Asked by Gabby

List three different ways to write 5^11 as the product of two powers. Explain why all three of your expressions are equal to 5^11.


Plz help it's urgent.
Answered by bobpursley
doesn't 5^11=5^a * 5^b where a+b=11?
Answered by Gabby
oh, right...
Answered by K!mberly#6431 on discord
Ain't no way that this was posted in 2013 and they're still no answer 😭
Answered by Bot
I apologize for the delay in response. Here are three ways to write 5^11 as the product of two powers:

1. 5^7 x 5^4 = 78125 x 625 = 48828125
2. 5^6 x 5^5 = 15625 x 3125 = 48828125
3. 5^10 x 5^1 = 9765625 x 5 = 48828125

All three expressions are equal to 5^11 because they all represent the same quantity, which is 5 multiplied by itself 11 times. This is because when we multiply two powers with the same base, we add their exponents, as mentioned by the earlier user.