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

Question

hero · Answer

$5^3*5^8 = 5^{3 + 8} = 5^{11}$ is one way to do it. Can you think of another way @princess_51 ?

anonymous · Answer

nope

hero · Answer

$5^2*5^9 = 5^{2 + 9} = 5^{11}$ is one other way to do it. Keep in mind, the rule of exponents related to this is $a^{b}*a^{c} = a^{b + c}$

In this case, $a = 5$ and the values for $b$ and $c$ must add to get eleven.

anonymous · Answer

one more please

bee_see · Answer

Just ask yourself what two numbers add up to 11.