Answer:
.
Step-by-step explanation:
Answer:
Proved (See Explanation)
Step-by-step explanation:
Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is done as follows

From laws of indices;
aᵐ⁺ⁿ = aᵐ * aⁿ.
So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.
becomes

Factorize



3ⁿ * 5
5(3ⁿ)
<em>The expression can not be further simplified.</em>
<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>
Answer: There are 7,677 streets named as " First Street" and 7, 189 streets named as "Main Street" .
Step-by-step explanation:
Let x be the number of streets named as First Street .
y be the number of streets named as Main Street.
AS per the given information, we have the following system of equations :

Substitute the value of x from (2) in (1) , we get

Put value of y in (2), we get

Hence , there are 7,677 streets named as " First Street" and 7, 189 streets named as "Main Street" .
Answer:
Answer
Step-by-step explanation: