Laws of Exponents

Exponents

100

Identify the base: 3²

What is 3?

200

Identify the exponent 1⁶

What is 6?

300

Write using exponents: (3 x 3 x 3)

What is 3³

400

Write using exponents: h x h x h x h x h

What is h⁵

500

Write in expanded form: 9³

What is 9 x 9 x 9

Product of Powers

100

You do this to the exponents to multiply powers with the same base.

What is add.

200

Simplify: 5² x 5⁶

What is 5⁸

300

Simplify: (2x² )(4x³)

What is 8x⁵

400

Simplify: (8x³)(-3x⁹)

What is -24x¹²

500

Simplify (-2)⁵ (-2)^-3

(-2)² = +4

Quotient of Powers

100

You do this to the exponents when dividing powers with the same base.

What is subtract

200

Simplify: 2⁵/2²

What is 2³

300

Simplify: w³/w⁸

What is w^-5

400

(18a⁷ )/(6a³)

What is 3a⁴

500

Simplify: (12x²) / (6x³)

What is 2x^-1 or 1/2x

Power of Powers

100

You do this to the exponents when finding the power to a power.

What is multiply

200

Simplify: (x²)³

What is x⁶

300

Simplify: (0.5³)²

What is 0.5⁶

400

Simplify: (2y)³

What is 8y⁴

500

Simplify: (x²y⁶)³

What is x⁶y¹⁸

Negative and Zero Exponents

100

Any number raised to the zero power is...

What is 1

200

2⁰

What is 1?

300

Write using a positive exponent 3^-2 

What is 1/3² or 1/9

400

Write using a positive exponent w^-5

What is 1/w⁵

500

Write 1/x^-2 using positive exponents.

What is x²