Mrs. Potthast's Honors Pre-Algebra: Powers and Roots

Write Using Exponents, or Evaluate

100

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

(-5)⁴

200

a*b*c*b*a*b*a*b*c*c

a³b⁴c³

300

(3a + b)(x - y)(3a + b)(3a + b)(x-y)

(3a + b)³(x-y)²

400

Evaluate x²y³ for x = -3, y = -4

-576

500

Evaluate a^-2b³c^-1 for a = 9, b = 3, c = -5

-1/15

Product of Powers

100

5² * 5

5³

200

c³ * c⁵

c⁸

300

(-6)² * (-6)^-3

-1/6

400

-4a⁵ * 6a^-3

-24a²

500

-7a⁴b³c³ * 5ab⁴c^-2

-35a⁵b⁷c

Quotient of Powers

100

y⁸ / y⁷

y

200

x⁵ / x^-2

x⁷

300

12w⁵ / 3w⁶

4 / w

400

x^-7y³ / x²y²

y / x⁹

500

51x^-3y^-4z⁶ / 17x^-2y^-4z^-6

3z¹² / x

Negative Exponents

100

What is 5^-3 ?

1/125

200

What is (-5)^-3 ?

- 1/125

300

(4)³(-4)^-4

1/4

400

(2)^-5(4)² + (-3)³(54)^-1

0

500

(-3)^-5 * 3⁷ * (-9)^-3 * (27)* 

1/3

Scientific Notation

100

What is 3400 in scientific notation?

3.4 * 10³

200

What is 0.00437 in standard notation?

4.37 x 10^-3

300

(3.4 * 10²) * (3.1 * 10⁵)

(answer in scientific notation)

1.054 x 10⁸

400

(4.2 * 10⁷) / (1.4 * 10²)

(answer in scientific notation)

3 * 10⁵

500

(2.84 * 10¹¹) - (5.4 * 10⁹)

(answer in scientific notation)

2.786 * 10¹¹