Laws of Exponents

Exponents

100

Identify the base: 3²

What is 3

200

Identify the exponent 1⁶

What is 6.

300

Write in exponential form: (3 x 3 x 3)

What is 3³

400

Write in expanded form: h⁵

What is h x h x h x h x h

500

Identify the coefficient: 5x¹⁰

What is 5

Product Rule

100

Simplify: x² ⋅ x³

What is x⁵

200

Simplify: 5² ⋅ 5⁶

What is 5⁸

300

Simplify: 2x² ⋅ 4x³

What is 8x⁵

400

Simplify: 8x³ ⋅ -3x⁹

What is -24x¹²

500

What does the product rule do?

What is multiply the coefficients, keep the base, add the exponents.

Quotient Rule

100

Simplify x⁵ / x³

What is x²

200

Simplify: 2⁵/2²

What is 2³

300

Simplify: w³/w⁸

What is w^-5

400

Simplify: 18a⁷/6a³

What is 3a⁴

500

What does the quotient rule do?

What is divide the coefficients, keep the base, subtract the exponents.

Power Rule

100

Simplify: (x³)²

What is x⁶

200

Simplify: (y³z¹¹)⁵

What is y¹⁵z⁵⁵

300

Simplify: (4x³)²

What is 16x⁶

400

Simplify: (14y)⁴

What is 38416y⁴

500

What does the power rule do?

What is distribute the exponent to the coefficient, keep the base, and multiply the exponents.

Negative and Zero Exponents Rule

100

Any number raised to the zero power is

What is 1

200

2^0

What is 1

300

To write a negative fraction using positive exponents, you must make a

What is fraction.

400

Write using a positive exponent w^-5

What is 1/w⁵

500

Write x^-1/y^-2 using positive exponents.

What is y²/x¹