Module 1: Test 1

Power Rule

100

Simplify: 5² * 5⁴

5²⁺⁴= 5⁶

200

Simplify: 14²³ * 14⁹

14²³⁺⁹= 14³²

300

Simplify: 9⁴ * 9⁵ * 9¹⁵ * 9³

9^4+5+15+3 = 9²⁷

400

Simplify: 5³ * 8⁴ * 9⁹ * 7¹⁵

Can't be written in a simpler form. 5³ * 8⁴ * 9⁹ * 7¹⁵

500

Write the expressions with the fewest number of bases possible: 5⁶ * 25²

5¹⁰

Quotient Rule

100

Simplify: 20²³/20¹⁸

20⁵

200

Simplify: 3⁵*3⁴/3⁵

3⁴

300

(-2)⁷*95⁷/(-2)³*95²

(-2)⁴*95⁵

400

Let x and y be positive integers: 11^x/11^y

11^x-y

500

Simplify: 2¹⁵*2²²*2⁵/2¹¹

2³¹

Power of a Power

100

Simplify: (2³)³

2⁹

200

Let s be a number: (s¹⁷)⁴

s⁶⁸

300

Simplify: (3.4⁴)¹⁰

3.4⁴⁰

400

Simplify: (3*x⁹)⁷

3⁷ * x⁶³

500

Let a, b, and c be numbers: (a⁴b⁷c)⁵

a²⁰b³⁵c⁵

Zero & Negative Exponents

100

The value of anything raised to the 0th power.

1

200

The reciprocal of 5^-12

1/5¹²

300

The value of (x²³)⁰

1

400

Simplify: (7^-4)¹¹

7^-44

500

Write an expression of equivalent value to 98^-109

1/98¹⁰⁹

Mixed Review

100

Write this number in expanded notation: 7456

(7*10³)+(4*10²)+(5*10)+(6*10⁰)

200

Write the expression with the fewest number of bases possible: 3² * 27

3⁵

300

Write the expression in a simpler form that is equivalent: 798548^-8

1/798548⁸

400

Simplify the expression: (7/8)¹²

(7¹²/8¹²)

500

Let x be any nonzero integer: x^-5 * x^-7

x^-12