Unit 4 - Exponents

Question 1

What is the growth and decay formula?

Answer 1

y = A(1 +/- r)^x
A = starting value
r = rate in decimal form
x = # of time periods

Question 2

How do you convert into scientific notation?

Answer 2

Move the . to make the # between 1-10
How many spaces did . move? It’s the exponent
Multiply by 10 to exponent
- If original # was whole, the exponent is positive
- If original # was a decimal, the exponent is negative

Question 3

How do you convert out of scientific notation?

Answer 3

If the exponent on 10 is positive, move . to the right
If the exponent on 10 is negative, move . to the left
Use 0s to fill in the spaces from the original number to the new .

Question 4

How do you multiply scientific notation?

Answer 4

Multiply the “numbers”
Multiply the powers of 10
Adjust exponent so 1st number is 1-10

Question 5

How do you divide scientific notation?

Answer 5

Divide the “numbers”
Divide the powers of 10
Adjust exponent so 1st number is 1-10

Question 6

What are the exponent properties?

Answer 6

x^a+x^b = x^a+b
(x^a)^b = x^a*b
(x-y)^a = x^a+x^b
(x/y)^a = x^a/y^a
x^a/x^b = x^a-b
x^-a = 1/x^a
1/x^-a = x^a
x^0 = 1