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 3^3

400

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

What is h⁵

500

Write in expanded form: 9⁶

What is 9 x 9 x 9 x 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)(4x³y⁵)(y⁶)

What is 8x⁵y¹¹

400

Simplify: (8x³)(-3x⁹)

What is -24x¹²

500

(x⁷x^-11y^-3y^-6)

What is (1/x⁴y⁹)?

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 1/w⁵

400

18a⁷/6a³

What is 3a⁴

500

Simplify: (12x²/6x³)

What is 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: (-3x³)²

What is 9x⁶

400

Simplify: -(14y)⁴

What is -14⁴y⁴ 

500

Simplify: (x²y⁶/x^-3)²

What is (x¹⁰y¹²)

Negative and Zero Exponents

100

Any number raised to the zero power is

What is 1

200

(xyz)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^-5x^-7y^-3)

What is (1/w⁵x⁷y³)

500

(x⁴y⁵/x⁸y^-3)

What is (y⁸/x⁴)?