Topic 1 Assessment

Exponent Properties

100

Simplify the expression x² ⋅ x⁵ ⋅ x^-3

x⁴

200

Simplify the expression (3x²)³

27x⁶

300

Simplify the expression -(15⁰)

-1

400

Simplify the expression 7⁸ ÷ 7^-2

7¹⁰

500

Simplify the expression 4⁴ ⋅ 4⁴

4⁸

More Exponent Properties

100

Simplify the expression x^-5 ⋅ y⁸ ⋅ x⁷ ⋅ y^-3

x²y⁵

200

Write x^-6 using a positive exponent

1/x⁶

300

Write 1/x^-4 using a positive exponent

x⁴

400

Simplify the expression (x²)⁰

1

500

Simplify the expression (x² ⋅ y⁵) ÷ (x ⋅ y³)

xy²

Scientific Notation and Standard Form

100

Write 0.00023 in scientific notation

2.3 ⋅ 10^-4

200

Write 8.623 ⋅ 10³ in standard form

8,623

300

Write 423,000,000,000 in scientific notation

4.23 ⋅ 10¹¹

400

Write 0.98 ⋅ 10⁷ correctly in scientific notation

9.8 ⋅ 10⁶

500

Write 654 ⋅ 10^-13 correctly in scientific notation

6.54 ⋅ 10^-11

Scientific Notation Operations

100

(3.8 ⋅ 10⁸)(3 ⋅ 10⁶)

1.14 ⋅ 10¹⁵

200

(1.7 ⋅ 10⁶) ÷ (3.4 ⋅ 10⁴)

5 ⋅ 10¹

300

(9 ⋅ 10²)(1 ⋅ 10¹¹)

9 ⋅ 10¹³

400

(5 ⋅ 10^-3) ÷ (4 ⋅ 10^-5)

1.25 ⋅ 10²

500

(1.68 ⋅ 10⁴) ÷ (3.5 ⋅ 10^-2)

4.8 ⋅ 10⁵

Scientific Notation Word Problems

100

The mass of one carbon atom is 1.99 ⋅ 10^-26 kilograms. What is the mass of 25,000 carbon atoms?

4.975 ⋅ 10^-22 kilograms

200

Humpback whales can weigh up to 8 ⋅ 10⁴ pounds. The krill they eat weigh only 2.5 ⋅ 10^-3 pounds. How many times greater does a whale weigh than a krill?

3.2 ⋅ 10⁷ times greater

300

Pluto is about 3.6 ⋅ 10⁹ miles from the sun. Mercury is about 3.6 ⋅ 10⁷ miles from the sun. How many times further from the sun is Pluto than Mercury?

1 ⋅ 10² or 100 times futher

400

In 2021, the population of New York was about 2 ⋅ 10⁷, and the population of Oregon was about 4 ⋅ 10⁶. How many times greater is the population of NY than OR?

5 ⋅ 10⁰, or 5 times greater

500

An airplane traveled at a speed of 5.7 ⋅ 10² miles per hour for 1.4 ⋅ 10¹ hours. How far did the airplane travel?

7.98 ⋅ 10³ miles