<u>Given</u>:
The given expression is 
We need to determine how the expression can be simplified.
<u>Simplifying the expression:</u>
Let us determine how the expression can be simplified.
The expression is given by

Applying the exponent rule that
in the above expression, we get;

Adding the exponents, we get;

Again, applying the exponent rule
, we get;

Thus, the simplified expression is 
Hence, the expression is simplified by adding the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Therefore, Option D is the correct answer.
<u><em>Answer</em></u>
= 3.405 × 10⁻⁴
<u>Explanation</u>
If the question is correctly written, then it is very easy.
First, take the like terms on one side.
493x = 3432x+1
493x - 3432x = 1
-2939x = 1
Dividing both sides by -2939 to get the value of x.
x = 1/(-2939)
= - 0.0003405
= 3.405 × 10⁻⁴
Reciprocal of a fraction<h2>Answer</h2>
8/7
<h2>Explanation</h2>
In this case, the base is 7/8 and the exponent is -4.
In order to find the reciprocal of a fraction we just have to flip it upside down:
That is why the answer is 8/7.
<h3>
Answer: p = 0.12*(1.02)^t</h3>
Explanation:
The general exponential growth equation is
p = A*B^t
where t is the number of years that have gone by after 2008, A is the starting amount, B is the growth multiplier, and p is the price t years after 2008
We know that A = 0.12 is the starting price
The value of B is B = 1.02 which is in the form 1+r since 1.02 = 1 + 0.02 = 1+r
The r value is r = 0.02 and it is positive to represent growth. Keep in mind that 2% = 2/100 = 0.02
So we go from
p = A*B^t
to
p = 0.12*(1.02)^t