Powers and Roots

Exponents

100

Write the expression using exponents.

2 x 2 x 2 x 2 x 2 x 2 x 2

2⁷

200

Expand the expression without exponents.

(-5)⁴

(-5) x (-5) x (-5) x (-5)

300

Write the expression without negative exponents.

3^-3

1/3³ or 1/27

400

Write the expression with a positive exponent.

1/6^-2

6²

500

Write the expression without any exponents.

(5/2)^-3

8/125

Multiplying and Dividing Monomials

100

Solve using positive exponents

4⁵ x 4⁶

4¹¹

200

Solve using positive exponents

12⁵/12³

12²

300

Solve using positive exponents

3a⁴ x 7a^-7

21/a³

400

Solve using positive exponents

8¹⁰/8^-4

8¹⁴

500

25b¹²/35b⁹

5b³/7

Compute Scientific Notation

100

(1.2 x 10⁴) x (3.4 x 10⁵)

4.08 x 10⁹

200

(7.3 x 10³) x (3.7 x 10²)

2.701 x 10⁶

300

(6 x 10⁵) / (8 x 10²)

7.5 x 10²

400

(5.6 x 10³) + (6.4 x 10⁵)

6.456 x 10⁵

500

(4.3 x 10⁷) - (5.2 x 10⁶)

3.78 x 10⁷

Roots

100

square root(16)

+4 or -4

200

Square root(10²)

10

300

cube root(729)

+9 or -9

400

square root(-36)

No real solution

500

cube root(-125)

-5

The Real Number System

100

List all sets of numbers that the number belongs to.

-3

rational and integer

200

List all sets of numbers that the number belongs to.

pi

irrational

300

0.7777777777777...

rational

400

square root(25)

rational, integer, whole, and natural

500

Put the list of numbers in order from least to greatest.

(2.71, 2+3/4, sqrt(5), 5/2)

See the board

sqrt(5), 5/2, 2.71, 2+3/4