Math 9 – Exponents Homework #2

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Math 9 – Exponents Homework #2

1. 
   Complete the following chart:
   

negative exponent	positive exponent	expanded fraction	standard form (fraction)
5^–4
10^–9
2^–8
()^–6
()^–3
	()^5
	()^4

2. 
   Arrange the following in ascending order:
   

5^–2 6^–1 3^–3 2^–6

Use the information below to help answer the following question

Stanley wants to have $5000 in his TFSA in 5 years’ time, which is currently paying 2.2% interest.

A formula can be used to help determine how much Stanley would need to deposit today : P = d(1 + i)^–t
[ where : P = Principal d = amount deposited i = interest rate as a decimal and t = length of deposit ]

3. 
   Determine how much money Stanley would need to deposit today in order to have $5000 in 5 years time.
   

Use the information below to help answer the following question

A half-life describes the amount of time for half the amount of a radioactive element to decay (change) into another element.

If scientists know how many half-lives have passed, they can calculate the original amount with the formula amount = m ÷ 2^–n The amount remaining
m = mass of original isotope remaining,

n = number of half-lives passed

4. 
   The half-life of fermium–23 is 3days. If Gillian has 1.5 grams remaining of a sample that is 1 month old, what was the original mass of fermium–253?