Exponent Rules & Scientific Notation

Product Rule

100

Simplify: 3³ * 3⁶ * 3⁶ * 3

What is... 3¹⁶

200

Simplify: x¹⁰ * y⁵ * y¹⁰ * x

What is... x¹¹ * y¹⁵

300

Simplify: 5x⁷yz^-2 * -2xy²z⁴

What is... -10x⁸y³z²

400

A warehouse contains 6⁵ containers. Each container weighs 6³ pounds. How much is the weight inside all of the containers?

What is... 6⁸ pounds

500

Simplify: 2⁴ ∙ 2⁶ ∙ (2³)³

What is... 2¹⁹

Quotient Rule

100

Simplify: 2⁴ / 2²

What is... 2²

200

Simplify: x¹⁰ / x⁴

What is... x⁶

300

Simplify: x¹⁵y²z / x¹⁰y³z

What is... x⁵ / y

400

Jim wrote 10⁷ words during a period of 10³ days. On average, how many words did Jim write per day?

What is... 10⁴ words per day

500

Simplify: (x⁵)³ / (x⁶)²

What is... x³

Power Rule

100

Simplify: (2²)⁵

What is... 2¹⁰

200

Simplify: (x³y⁵z⁷)²

What is... x⁶y¹⁰z¹⁴

300

Simplify: (2x²y⁶z)³ 

What is... 8x⁶y¹⁸z³

400

Simplify: (8³)⁴ * (8²)⁵

What is... 8²²

500

Simplify: (x²)⁰ * (x⁹)² 

What is... x¹⁸

Negative Rule

100

Simplify: x^-4

What is... 1/x⁴

200

Simplify: x^-2y³z^-4

What is... y³ / x²z⁴

300

Simplify: 4^-2x^-8y

What is... y / 16x⁸

400

Simplify: 6x^-2y⁵ / 3x⁴

What is... 2y⁵ / x⁶

500

Simplify: 4a³b² * 3a^-4b^-3 

What is 12 / ab

Scientific Notation

100

Convert 5,600,000 to scientific notation

What is... 5.6 x 10⁶

200

Convert 0.0000456 to scientific notation

What is... 4.56 x 10^-5

300

Convert 9.644 x 10⁸ to regular notation

What is... 964,400,000

400

Convert 7.21 x 10^-6 to regular notation

What is... 0.00000721

500

Convert 4.8767 x 10⁹ to regular notation

What is... 4,876,700,000