lesson 19 | session 2\ndevelop applying properties for powers with the same base\nread and try to solve the…

lesson 19 | session 2\ndevelop applying properties for powers with the same base\nread and try to solve the problem below.\none population of single-celled bacteria doubles each day.\non day $x$, the population of the colony is $2^x$. how many times as large is the population of the colony on day 7 than on day 4?\ntry it

lesson 19 | session 2\ndevelop applying properties for powers with the same base\nread and try to solve the problem below.\none population of single-celled bacteria doubles each day.\non day $x$, the population of the colony is $2^x$. how many times as large is the population of the colony on day 7 than on day 4?\ntry it

Answer

Explanation:

Step1: Define populations for each day

Population on Day 7: $2^7$; Population on Day 4: $2^4$

Step2: Set up ratio of populations

$\text{Ratio} = \frac{2^7}{2^4}$

Step3: Apply exponent division rule

For same base $\frac{a^m}{a^n}=a^{m-n}$, so $\frac{2^7}{2^4}=2^{7-4}=2^3$

Step4: Calculate the final value

$2^3=8$

Answer:

8