Exponents and Scientific Notation

Exponents

100

Write 3 • 3 • 3 • 3 using exponents.

3⁴

200

Evaluate the expression 2³

8

300

Write (-4) • (-4) • (-4) using exponents.

(-4)³

400

The base in the expression 2⁵

2

500

Evaluate the expression 3³ x 9 and write your answer in exponential form.

3⁵

Properties of Exponents

100

Simplify the expression 2⁵ • 2²

2⁷

200

Simplify the expression. 6⁵ ÷ 6²

6³

300

Simplify (8¹⁰)⁴

8⁴⁰

400

Simplify 5³ • 5⁹ ÷ 5²

5¹⁰

500

Simplify the expression (6⁴)² / 6

6⁷

Zero and Negative Exponents

100

Evaluate the expression 2^-4

1/16

200

Evaluate the expression 37⁰

1

300

Simplify 8² / 8⁴

8^-2 or 1/64

400

Simplify the expression (1/7)⁹ • (1/7)^-6

(1/7)³

500

Evaluate the expression 9⁴ • 9^-2 ÷ 9²

1

Scientific Notation

100

Is this number written in scientific notation? 2 x 10^-6

yes

200

Write the number in standard form. 3.4 x 10^-2

.034

300

Write the number in scientific notation. 79,200,000

7.92 x 10⁷

400

Is 25.3 x 10^-8 in scientific notation?

no

500

Change the following number so that it is written properly in scientific notation. 367 x 10^-4

3.67 x 10^-2

Operations in Scientific Notation

100

Evaluate the expression. Write your answer in scientific notation. (7 x 10⁸) X (4 x 10^-5)

2.8 x 10⁴

200

Evaluate the expression. Write your answer in scientific notation. (6 x 10⁵) ÷ (3 x 10⁹)

2 x 10^-4

300

Evaluate the expression. Write your answer in scientific notation. (7 x 10^-6) x (7 x 10^-6)

4.9 x 10^-11

400

Evaluate the expression. Write your answer in scientific notation. (2 x 10⁸) + (3 x 10⁹)

3.2 x 10⁹

500

A rectangular table located in the office has a length of 2 x 10³ mm and a width of 1.5 x 10² mm. Find the area of the table top. Write your answer in scientific notation.

3 x 10⁵