Exponents & Scientific Notation

Exponent Rules

100

Solve: 3² x 3⁴

3⁶

200

Solve: 6⁵ / 6

6⁴

300

Solve: (5x³)²

25x⁶

400

Solve: (2x⁵y³)(8xy⁴)

16x⁶y⁷

500

Solve: 42x²y⁵ / 7x

6xy⁵

Negative Exponents

100

Solve: 7^-2

1/49

200

Solve: 2^-3

1/8

300

Solve: 3^-8 x 3⁵

1/27

400

Solve: 4^-6 / 4^-3

1/64

500

Solve: 5^-3 / 5

1/625

Scientific Notation & Standard Form

100

Write in standard form: 3.2 x 10⁴

32,000

200

Write in scientific notation: 612,000

6.12 x 10⁵

300

Write in standard form: 6.7 x 10^-4

0.00067

400

Write in scientific notation: 0.00302

3.02 x 10^-3

500

Write in standard form: 714320

7.1432 x 10⁵

Adding & Subtracting in Scientific Notation

100

Add: (6 x 10⁴) + (2.55 x 10⁴)

8.55 x 10⁴

200

Subtract: (9 x 10^-5) - (5.4 x 10^-5)

3.6 x 10^-5

300

Add: (9.37 x 10⁸) + (9.41 x 10⁷)

1.0311 x 10⁹

400

Subtract: (1.8 x 10¹⁵) - (8.75 x 10¹⁴)

9.25 x 10¹⁴

500

Subtract: (6.05 x 10^-10) - (5 x 10^-11)

5.55 x 10^-10

Multiplying & Dividing in Scientific Notation

100

Multiply: (5 x 10⁴) x (6 x 10³)

3 x 10⁸

200

Multiply: (2.8 x 10⁷) x (1.9 x 10⁴)

5.32 x 10¹¹

300

Divide: (6 x 10⁸) / (3 x 10^-2)

2 x 10¹⁰

400

Multiply: (9.8 x 10^-13) x (7.5 x 10¹⁶)

7.35 x 10⁴

500

Divide: (2.89 x 10²) / (3.4 x 10^-2)

8.5 x 10³