8th Grade Math Review - Exponents

Negative Exponents

100

(-6)^-2

What is 1/36?

200

2^-5

What is 1/32?

300

-12^-1

What is -1/12?

400

Rewrite with a positive exponent: a^-4

What is 1/a⁴

500

Rewrite with positive exponents: (x^-2y⁴) ÷ (x³y^-2)

What is y⁶ ÷ x⁵?

Exponents

100

Write as one power. 5⁴ * 5³

What is 5⁷?

200

Simplify n² * n⁴

What is n⁶?

300

Simplify x⁸/x³

What is x⁵?

400

Simplify (x³)⁵

What is x¹⁵?

500

Simplify: 3³ * 9¹²

What is 3²⁷?

Powers of 10

100

Write in standard form: 10^-3

What is 0.001?

200

Write in standard form: 10⁴

What is 10,000?

300

Write in standard form:10^-5

What is .00001?

400

Write in standard form: 10⁰

What is 1?

500

Write in standard form: (10^-2 * 10⁶) ÷ (10⁴ * 10^-3)

What is 1000?

Order of Operations

100

5⁰ + 49(1 + 6)^-2

What is 2?

200

7 - 8(2)^-3 + 13

What is 19?

300

3 + (-3)^-2 - (9 + 7)⁰

What is 2  1/9? (or 19/9)

400

10 - (3+2)⁰ + 2^-1

What is 9  1/2?

500

2^-2 + (-4)^-1

What is 0?

Exponents 2

100

Simplify y⁹ * y⁸

What is y¹⁷?

200

Simplify 17¹⁹/17²?

What is 17¹⁷?

300

Simplify (12⁹/12²)³

What is 12²¹?

400

Simplify (10⁴ * 10⁶ * 10^-8)^-2

What is 10^-4?

500

Simplify (x⁵ / x¹⁰)^-4

What is x²⁰?