Exponent Rules & Scientific Notation

Multiplying Exponents

100

Simplify the expression: 8⁷ x 8³

8¹⁰

200

Solve: (1⁴)² x (1³)⁴

1

300

Simplify the expression: m³ x m⁰

m³

400

Solve: 5^{2 x} 5²

625

500

Simplify the expression: (4⁸)²

4¹⁶

Dividing Exponents

100

Simplify the expression: 

q^9 / q^6

q³

200

Solve: 

(2^3)^2/2^5

2

300

Simplify the expression: 

6^9/(6^3)^2

6^3

400

Solve: 

6^9/(6^3)^2

216

500

Simplify: 

(7^2)^5/7^3

7^7

Integer Exponents

100

Rewrite: 

4^-2

1/4^2

200

Solve: 

8^-1

1/8

300

Rewrite: 

h^-6

1/h^6

400

Solve: 

7^-2

1/49

500

Rewrite: 

11^-7

1/11^7

Scientific Notation

100

Convert from standard to scientific notation: 25,000

2.5 x 10⁴

200

Write in standard form: 5.82 x 10⁶

5,820,000

300

Convert to standard form: 1.5 x 10^-3

.0015

400

Convert to scientific notation: .0000006257

6.257 x 10^-7

500

Write in scientific notation: 8.345 x 10^-6

.000008345

Operations with scientific notation

100

(6.2 x 10⁸) + (2.3 x 10⁸)

8.5 x 10⁸

200

(9 x 10^-3) - (4 x 10^-30

5 x 10^-3

300

(1.5 x 10⁵)x(5 x 10³)

7.5 x 10⁸

400

(9.45xx10^7)/(2.1xx10^2)

4.5x10⁵

500

(7.3 x 10^-1)(.004)

2.92 x 10^-3