Lilous Diner has a value of 1.73 million dollars. Mit Bed and Breakfast has a value of 0.30 million
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The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,
Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.
Given information-
The given equation in the problem is,
Write both the equation in the form of same base number as,
The power of the power of a number can be written as product of both the numbers. Thus,
This is the required equation.
Now if the base is the same at both side of the expression, then the powers can be compared. Thus,
Solve it further to find the value of p as,
Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,
Learn more about the equivalent expression here;
First, we are going to find the common ratio of our geometric sequence using the formula: 
. For our sequence, we can infer that 
and 
. So lets replace those values in our formula:
Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:
. We know that 
; we also know for our previous calculation that . So lets replace those values in our formula:
Finally, to find the 9th therm in our sequence, we just need to replace
with 9 in our explicit formula:
We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>
Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:
Finally, to find the 9th therm in our sequence, we just need to replace
We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>