I think you wrote that incorrectly
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>
We know









<h3>Option b is coreect</h3>
Using the formula (AB +BC) *BC = (DE +CD) *CD
fill i n what is known:
(17 + 4) *4 = (DE +6) *6
21*4 = (DE +6)*6
84 = (DE+6)*6
84/6 = DE+6
14 = DE +6
DE = 14-6
DE = 8
Answer:
x = 8
Step-by-step explanation:
We solve the equation:
4x + 6 = 38
4x = 38 - 6
4x = 32
x = 32 ÷ 4
x = 8