Exponential Functions

Rules of Exponents

100

Simplify (x^4)(x^7)

What is x^11

200

Simplify (y^10)/(y^6)

What is y^4

300

Simplify (x^2)/(x^8)

What is 1/x^4

400

Simplify (x^3*y^4*z)^0

What is 1

500

Simplify (x^5)^-2

What is 1/x^10

Exponential or linear

100

Exponential or linear   y=2x - 4

What is linear

200

Exponential or linear y = 4^x. 

What is exponential

300

Consider y= 3x - 4.  What is the initial value?

What is  -4

400

Consider the function y = 4^x. What is the initial value (a)? What is the constant ratio (b)?

What is a = 1 and b=4

500

Consider y = 2(1/3)^X. What is the initial value? What is the constant ratio?

What is initial value=2 and constant rate = 1/3

Exponential Growth and decay

100

Why is y = 6^x exponential growth?

What is because b > 1

200

What is this function an example of decay? y = 100(3/4)^x ?

What is a b value between o and 1.

300

What is the rate of decay for this function? y=-3(1/2)^x

What is 1/2

400

What is the horizontal asymptote for this exponential function?  y = -7(5)^x + 4

What is 4

500

The solution to (x¹⁷y¹⁵) / (x⁷y⁷) 

What is x¹⁰y⁸ 

Negative exponents

100

The solution to 3^-3

What is 1/27

200

The solution to (2/5)^-2

What is 25/10

300

The solution to 3^-2/ 2

What is 1/18

400

The solution to  (n^-3 m) / (n m^-2 b)

What is.     m³ / n⁴b

500

You invested $5,000 in stock that is losing its value at a rate of 5.2%. What will your investment be worth in 3 years? (Rounded to the nearest whole dollar).

What is $4,260

Scientific Notation

100

Express in scientific notation.   2,300.

2.3 x 10³

200

Express in scientific notation.   .00034

What is 3.4 x 10^-4

300

Write in expanded form  2.456 x 10⁵

What is 245600

400

Write in expanded notation.   3.61 X 10^-3

What is .00361

500

Write in scientific notation.   473,800,000

What is 4.738 x 10⁸