Unit 7 Review

Product of Powers

100

Write the product using exponents.

3 * 3 * 3 * z * z * z * z

3³*z⁴

200

Simplify the expression.

m¹⁰*m⁶

m¹⁶

300

Simplify the expression.

(7²)³

7⁶

400

Simplify the expression.

(2pm)³

8p³m³

500

Simplify the expression.

(5.3p⁴y)²

28.09p⁸y²

Multiplying & Factoring Expressions

100

Find the product.

-3x(2x + 9)

-6x²-18x

200

Find the product

2y(-5y + 3)

-10y²+6y

300

Find the product.

2g⁵(g² - 9g - 12)

2g⁷-18g⁶-24g⁵

400

Factor the GCF.

9b + 21

3(3b+7)

500

Factor the GCF.

9k³ - 15k² + 18k

3k(3k² - 5k + 6)

Quotient of Powers

100

Simplify the expression.

(-7)⁹/(-7)³

(-7)⁶

200

Simplify the expression.

(x⁶*x⁵)/x⁴

x⁷

300

Simplify the expression.

(a¹⁰*a²)/(a⁷*a³)

a²

400

Simplify the expression.

(x/2)²

x²/4

500

Simplify the expression.

(w⁷/r³)⁴

(w²⁸/r¹²)

Zero & Negative Exponents

100

Simplify the expression.

34638259257⁰

1

200

Simplify the expression.

3^-4

1/81

300

Simplify the expression.

2⁶/2⁸

1/4

400

Simplify the expression.

6^-8*6⁸

1

500

Simplify the expression.

(8x³)/(2x⁹)

1/4x⁶

Scientific Notation

100

Write the number 173,000 in scientific notation.

1.73 x 10⁵

200

Write the number 0.0000042 in scientific notation.

4.2 x 10^-6

300

Write 5.3 x 10³ in standard form.

5,300

400

Find the product.

(7 x 10²)(3 x 10⁵)

2.1 x 10⁸

500

Find the difference.

(9.2 x 10⁸) - (4 x 10⁸)

5.2 x 10⁸