Chapter 1

Powers and Exponents

100

Express using exponents:

a ^. b ^. a ^. a ^. b ^. a ^. b ^. b ^. a ^. b ^. b ^. b

a^5 . b⁷

200

Express using exponents:

(-3) ^. (-3) ^. (-3) ^. 1/2 ^. 1/2

(-3)^3 . (1/2)²

300

Evaluate: 

2^{4 .} 3^2 . 5³

18,000

400

Evaluate:

(-2)³ + (4.5)²

12.25

500

Evaluate a⁴ + b² when a=-3 and b=1/2.

81 1/4 or 81.25

Multiply/Divide Monomials

100

Simplify:

w^{3 .} w^4 . w

w⁸

200

-3x^2 . 7x⁴

-21x⁶

300

y¹² / y⁴

y⁸

400

Simplify (without exponents):

(2^{2 .} 3^{3 .} 4⁵) / (2 ^. 3 ^. 4⁴)

72

500

Simplify:

(-3m²)(-5m⁷)

15m⁹

Powers of Monomials

100

Evaluate:

(d³)⁴

d¹²

200

Evaluate:

(2m⁵)⁶

64m³⁰

300

Evaluate:

(d⁷)⁵

d³⁵

400

Evaluate:

(7a²b⁴)²

49a⁴b⁸

500

Evaluate:

(-3x³y)³

-27x⁹y³

Zero and Negative Exponents

100

Evaluate:

29⁰

1

200

Express using a positive exponent:

4^-2

1/4² or 1/16

300

Evaluate (only positive exponents):

w^{-7 .} w³

1/w⁴

400

Evaluate (only positive exponents): 

x^-8 / x^-4

1/x⁴

500

Evaluate:

8^{-7 .} 8^{7 .} 10^4 . 10^-4

1

Scientific Notation

100

Write 33,800,000 in scientific notation.

3.38 x 10⁷

200

Write 0.000456 in scientific notation.

4.56 x 10^-4

300

Evaluate - keep your answer in scientific notation:

(1.4 x 10⁵) ^. (2 x 10⁵)

2.8 x 10¹⁰

400

Evaluate - keep your answer in scientific notation:

(7.2 x 10⁷) + (5.5 x 10⁶)

7.75 x 10⁷

500

Evaluate - keep your answer in scientific notation:

(7.26 x 10⁶) - (1.3 x 10⁴)

7.247 x 10⁶