Properties of Exponents Part 2

Properties

100

Simplify: 6^3 x 6^5

6^8

200

(8^2)^5)

8^10

300

(7mx^2)^3

(7^3)(m^3)(x^6)

400

8^7 divided by 8^3

8^4

500

20b^7 divided by 4b^5

5b^2

Negative Exponents

100

Write 8^-3 using a positive exponent

1/8^3

200

write a^-9 using positive exponents

1/a^9

300

Write 1/6^2 with a negative exponent

6^-2

400

Simplify using positive exponents: 7b^3 divided by 7b^5

First: 7b^-2; Final Answer: 1/7^2

500

Simplify using positive exponents: 4b^2 divided by 2b^5

First: 2b^-3; final answer: 1/2^3

Scientific Notation

100

Rewrite 1,500,000 in scientific notation

1.5 x 10^6

200

Rewrite 0.00037 in scientific notation

3.7 x 10^-4

300

Rewrite 664.3 in scientific notation

6.643 x 10^2

400

Rewrite 0.1579 in scientific notation

1.579 x 10^-1

500

Rewrite 205,789,000 in scientific notation

2.05789 x 10^8

Standard Form

100

Rewrite 1.375 x 10^4 in standard form

13,750

200

Rewrite 4.589 x 10^-2 in standard form

0.04589

300

Rewrite 2.25 x 10^7 in standard form

22,500,000

400

Rewrite 9.8 x 10^-4 in standard form.

0.00098

500

Rewrite 7.25 x 10^5 in standard form

725,000