Algebra 1 Chapter 8 Review

Exponent Properties

100

Simplify the expression, write your answer using exponents:

(-3)⁷(-3)

(-3)⁸

200

Simplify the expression, write your answer using exponents:

(y⁴)⁵

y²⁰

300

Simplify the expression, write your answer using exponents:

(5² * 5⁴) / 5³

5³

400

Simplify the expression:

(7x⁵/y²)²

49x¹⁰/y⁴

500

Simplify the expression:

(6/7r¹⁰) * (r⁵/s)⁵

6r¹⁵/7s⁵

Fractional Exponents

100

Evaluate the expression:

16^3/2

64

200

Evaluate the expression:

9^-3/2

1/27

300

(125)^2/3

25

400

27 * 27^3/2 * 27^-5/2

1

500

(-64)^-5/3 * (-64)^4/3

-1/4

Scientific Notation

100

Write the following number in proper scientific notation:

18764.23 x 10^-2

1.876423 x 10²

200

Evaluate the expression, write your answer in scientific notation:

(3.89 x 10⁵) - (1.92 x 10⁵)

1.97 x 10⁵

300

Evaluate the expression, write your answer in scientific notation:

(6.5 x 10⁹) / (1.6 x 10^-4)

4.0625 x 10¹³

400

Evaluate the expression, write your answer in scientific notation:

(6.3 x 10³) * (1.9 x 10^-5)

1.197 x 10^-1

500

Evaluate the expression, write your answer in scientific notation:

(8.79 x 10⁶) + (5.64 x 10⁸)

5.7279 x 10⁸

Exponential Functions

100

Graph the function:

y = 6^x

Identify its domain and range.

Domain: all real numbers

Range: all positive real numbers

200

Compare the graph of:

y = -5 * 2^x

with the graph of:

y = 2^x

Vertical Stretch

Reflection in the x-axis

300

Write a rule for the exponential function with ordered pairs:

(0, 1) and (1, 4)

y = 4^x

400

Write a rule for the exponential function with ordered pairs:

(0, 3) and (1, 1)

Does this function represent exponential growth or exponential decay?

y = 3 * (1/3)^x

Exponential decay.

500

In the function:

y = a * b^x

What can a not be equal to?

What can b not be equal to?

b has to be greater than ___.

a cannot be equal to 0

b cannot be equal to 1

b has to be greater than 0