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: 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 times 4x³

What is 8x⁵

400

Simplify: (8x³)(-3x⁹)

What is -24x¹²

500

Simplify: (9x⁴)(-3x⁵)(-2x²)

54x¹¹

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     OR   2/x¹

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: (3x²y⁶)³

What is 27x⁶y¹⁸

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

Simplify: -2(2xy)⁰

What is -2