Exponents and Scientific Notation Review

Exponents

100

What number is the base in 4³

4

200

What is the exponent in 6⁷

7

300

What is 5⁴ in expanded form?

5 x 5 x 5 x 5

400

When a number is greater than one, what sign is the exponent in Scientific Notation

Positive

500

When a number is less than one, what is the sign of the exponent in Scientific Notation

Negative

Exponent Rules

100

Any number to the zero power equals...?

Example: 923⁰

1

200

Simplify the expression 7⁹ x 7^-6

7³

300

Simplify the expression 9⁶ / 9⁸

9^-2

400

Simplify the expression (3⁴)³

3¹²

500

Simplify the expression (5²)^-4

5^-8

Convert Scientific Notation to and from Standard Form

100

What does the exponent represent in scientific notation?

How many times we move the decimal

200

Convert 5.7 x 10³ to standard form

5,700

300

Convert 0.00000621 to scientific notation

6.21 x 10^-6

400

Convert 20,340,000 to scientific notation

2.034 x 10⁷

500

Convert 1.34 x 10^-4 to standard form

0.000134

Addition and Subtraction for numbers in SN

100

Answer in proper scientific notation

(9.2 x 10³) - (7.1 x 10³)

2.1 x 10³

200

Answer in proper scientific notation

(5.6 x 10⁵) + (2.4 x 10⁵)

8.0 x 10⁵

300

Answer in proper scientific notation

(4.3 x 10³) + (5.1 x 10⁴)

5.53 x 10³

400

Answer in proper scientific notation

(3.4 x 10^-2) - (4.2 x 10^-3)

2.98 x 10^-2

500

Answer in proper scientific notation

(7.23 x 10⁴) - (7.11 x 10⁴)

1.2 x 10³

Multiplication and Division for numbers in SN

100

Answer in proper scientific notation

(3.2 x 10²) x (3 x 10⁴)

9.6 x 10⁶

200

Answer in proper scientific notation

4⁷ x 2^-2

4⁵

300

Answer in proper scientific notation

(6 x 10⁴) / (3 x 10⁵)

2 x 10^-1

400

Answer in proper scientific notation

5⁵ x 4.1³

2.05 x 10⁹

500

Answer in proper scientific notation

(1 x 10⁷) / (4 x 10³)

2.5 x 10³