Laws of Exponents

Exponents

200

Identify the base: 3²

What is 3

400

Identify the exponent 1⁶

What is 6.

600

Write using exponents: (3 x 3 x 3)

What is 3^3

800

Write using exponents: h * h * h * h * h

What is h⁵

1000

Write in expanded form: 9⁶

What is 9 x 9 x 9 x 9 x 9 x 9

Product of Powers

200

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

What is add.

400

Simplify: 5² x 5⁶

What is 5⁸

600

Simplify: 2x² times 4x³

What is 8x⁵

800

Simplify: (8x³)(-3x⁹)

What is -24x¹²

1000

DAILY DOUBLE!

DAILY DOUBLE!

DAILY DOUBLE!

Simplify (3x⁵)(5x^-4)

Quotient of Powers

200

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

What is subtract

400

Simplify: 2⁵/2²

What is 2³

600

Simplify: w³/w⁸

What is w^-5  (Also acceptable: 1/w⁵)

800

18a⁷/6a³

What is 3a⁴

1000

Simplify: 12x²/6x³

What is 2x^-1   (Also acceptable: 1/2x)

Power of Powers

200

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

What is multiply

400

Simplify: (z¹¹)⁵

What is z⁵⁵

600

Simplify: (4³)²

What is 4⁶

800

Simplify: (14y)⁴

What is 38416y^4.  (Also Acceptable: 14⁴y⁴)

1000

Simplify: (x² * y⁶)³

What is x⁶ y¹⁸

Negative and Zero Exponents

200

Any nonzero raised to the zero power is this number

What is 1

400

2⁰

What is 1

600

To write a negative fraction using positive exponents, you must make this "f" word

What is fraction.

800

Write using a positive exponent w^-5

What is 1/w⁵

1000

Write x^-1 using positive exponents.

What is 1/x¹   (Also acceptable: 1/x)