Ch 9 - Math Review

Powers & Exponents

100

Write the expression using exponents: 

8 x 8 x 8 x 8 x 8 x 8 x 8 x 8 

8⁸

200

Write the expression using exponents: 

3 x 7 x m x m x n x n

21m²n²

300

Write the expression using exponents: 

8(c + 4)(c + 4)

8(c+4)²

400

x = -2, y = 3

Solve: 

y⁴ = ?

81

500

x = -2, y = 3

Solve: 

y² - 3x + 8

23

Prime Factorization

100

What is the prime factorization of 24? 

2³ x 3

200

Factor: 

14a³

2 x 7 x a x a x a

300

What is the prime factorization of 243?

3⁵

400

Factor: 

-35c³d²

-1 x 5 x 7 x c x c x c x d x d

500

What is the prime factorization of 450?

2 x 3² x 5²

Mult. & Div. Monomials

100

Find each product. Express using exponents. 

2⁴ x 2⁶

2¹⁰

200

Find each quotient. Express using exponents. 

4⁵ / 4³

4²

300

Find each product. Express using exponents. 

(10x)(4x⁷)

40x⁸

400

Find each quotient. Express using exponents. 

7⁶ / 7

7⁵

500

Find each product. Express using exponents. 

(-8s³)(-3s⁴) 

24s⁷

Negative Exponents

100

Write each expression using a positive exponent. 

6^-2

1/6²

200

Write each fraction using a negative exponent. 

1/2⁶

2^-6

300

x = -4   y = 2

Solve:

3^x

1/81

400

x = -4   y = 2

Solve:

8y^-4

1/2

500

x = -4   y = 2

Solve:

4xy^-2

4

Scientific Notation & Powers of Monomials

100

Write each number in standard form. 

4.16 x 10³

4160

200

Express each number in scientific notation. 

135,000

1.35 x 10⁵

300

Express in scientific notation. 

0.000918

9.18 x 10^-4

400

Simplify: 

(6²)⁸

6⁸

500

Simplify:

(-2f³g⁴)⁷

-128f²¹g²⁸