Exponents and Powers

Scientific Notation

100

Rewrite in standard form: 6.8 x 10⁶

6,800,000

200

Rewrite in standard form: 1.42 x 10^-5

0.0000142

300

Rewrite using scientific notation: 15,200,000,000

1.52 x 10¹⁰

400

Rewrite in scientific notation: 0.00000461

4.61 x 10^-6

500

Multiply. Write the answer in scientific notation. (6 x 10⁴)*(2 x 10³)

1.2 x 10⁸

Multiplication

100

Rewrite using a single exponent: 2⁵ * 2³

2⁸

200

Rewrite using a single exponent: 3^x * 3^y

3^x+y

300

Simplify. (4r²s³) * (3r⁵s²)

12r⁷s⁵

400

Simplify. (a²bc⁴) * (-3abc³)

-3a³b²c⁷

500

Simplify. (-4x⁴yz⁶) * (3x²y⁴z^-2)

-12x⁶y⁵z⁴

Division

100

Rewrite using a single exponent: 5⁷ / 5³

5⁴

200

Rewrite using a single exponent: x^a / x^b

x^a-b

300

Simplify. (a⁴b²c⁷) / (a² b⁵c³)

(a²c⁴) / b³

400

Simplify. (4x³y⁶) / (6x²y⁴)

(2xy²) / 3

500

Simplify. (5m⁵n) / (10m⁴n)

m/2

Power Rules

100

Rewrite using a single exponent: (2³)⁴

2¹²

200

Rewrite using a single exponent: ((x³)²)⁶

x³⁶

300

Simplify. (-16h)⁰

1

400

Simplify. (3x²y³)³

27x⁶y⁹

500

Simplify. (4xy⁵z²)²

16x²y¹⁰z⁴

Miscellaneous

100

Rewrite using a positive exponent: h^-3

1/h³

200

What is (abcdefg)⁰?

1

300

Which is greater: 7 x 10⁴ or 4 x 10⁷

4 x 10⁷

400

There are about 4.8 x 10¹⁹ cubic feet of water on Earth. One cubic foot of water contains about
9.47 x 10²⁶ water molecules. Approximately how many water molecules are there on Earth?

about 4.55 x 10⁴⁶ molecules

500

Order the following numbers from least to greatest: 4.91 x 10¹⁴, 4.7 x 10¹⁵, 4.61 x 10¹⁵

4.91 x 10¹⁴, 4.61 x 10¹⁵, 4.7 x 10¹⁵