8th Grade Review

Exponents

100

Write this prompt in exponential form.

(-2)(-2)(-2)(-2)

What is (-2)⁴?

200

Expand:

(-8)³

(Do not give me the end result)

What is (-8)(-8)(-8)?

300

Will this final product be positive or negative?

(-9)⁹⁸

What is POSITIVE?

400

Evaluate the expression:

(1/3)⁵

What is 1/243?

500

Evaluate the expression:

(-4)³ + (-2/3)²

What is -64 + (4/9) or (-572/9)?

Multiplying & Dividing Powers With the Same base

100

Evaluate:

a² x a⁹

What is a¹¹?

200

Evaluate:

g x g

what is g²?

300

Evaluate:

(m⁸ x m³) / m

What is m¹⁰?

400

Evaluate COMPLETELY:

((-6)² x (-6)³) / (-6)²

What is -216?

500

Evaluate COMPLETELY:

(3/2) x (3/2)³ x (2/3)

Double Points if you Simplify correctly

Triple Points if you Simplify and turn it into a mixed number

What is 162/48 or 27/8 or 3 3/8?

Power of a Product & Power

100

Evaluate:

(ab)⁶

What is a⁶b⁶?

200

Evaluate:

(ab²cd)⁴

What is a⁴b⁸c⁴d⁴?

300

Evaluate COMPLETELY:

(10e)¹⁴

What is 100,000,000,000,000e¹⁴?

400

Evaluate COMPLETELY:

(6z⁵)⁵

What is 7,776z²⁵?

500

Evaluate:

((2²)³ x (2⁶)²) / (2³)²

What is 2^12 or 4096?

Zero and Negative Exponents

100

Evaluate:

a⁰

What is 1?

200

Evaluate:

v^-5

What is 1/v⁵?

300

Evaluate:

d⁴ / d¹²

What is 1/d⁸?

400

Evaluate:

f⁰ / (f⁵ x f²)

What is  1/f⁷?

500

Evaluate:

(k^-8 x k^-2) / (k^-4 x k^-3) 

What is k⁷/k¹⁰?

Square & Cubed Roots

100

Evaluate:

square root of 4

What is 2?

200

Evaluate:

cubed root of -8

What is -2?

300

Evaluate:

square root of 144 / negative cube root of 27

What is -4?

400

Evaluate:

-3(square root of 36) + 2³

What is -10?

500

Evaluate:

(cube root of 729) + 4(cube root of 343)

What is 37?