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 • 3 • 3

What is 3³

400

Write using exponents: 2h • 2h • 2h • 2h • 2h

What is (2h)⁵

500

Write in expanded form: (9x)⁶

What is 9x • 9x • 9x • 9x • 9x • 9x

Product of Powers

100

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

What is add.

200

Simplify: 5² • 5⁶

What is 5⁸

300

Simplify: 2x² • 4x³

What is 8x⁵

400

Simplify: (8x³)(-3x⁹)

What is -24x¹²

500

Simplify (4x⁵y)(12x³y⁸)

What is 48x⁸y⁹

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 or 1/w⁵

400

18a⁷/6a³

What is 3a⁴

500

Simplify: 12x²/6x³

What is 2x^-1 or 2/x

Power of Powers

100

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

What is multiply

200

Simplify: (z¹¹)⁵

What is z⁵⁵

300

Simplify: (4³)²

What is 4⁶

400

Simplify: (14y)⁴

What is 38416y⁴

500

Simplify: (2x²y⁶)³

What is 8x⁶y¹⁸

Negative and Zero Exponents

100

Any number raised to the zero power is

What is 1

200

2⁰

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 4x^-1y² using positive exponents.

What is 4y²/x