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: x² times x³

What is x⁵?

400

Simplify: (8x³)(-3x⁹)

What is -24x¹²?

500

(3u⁴v⁵)(7u²v³)

21u⁶v⁸

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: w⁷/w⁵

What is w²?

400

18a⁷/6a²

What is 3a⁵

500

Simplify: 4x⁵/8x^-4

What is x⁹/2?

Power of Powers

100

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

What is multiply

200

Simplify: (z⁵)¹¹

What is z^55?

300

Simplify: (4³)²?

What is 4⁶?

400

Simplify: (3y)⁵

What is 243y⁵?

500

Simplify: (x²y⁶)³

What is x⁶y¹⁸?

Negative and Zero Exponents

100

Any number raised to the zero power is

What is 1

200

2^0

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^-5

What is 1/w⁵?

500

Simplify: 4x⁵/x^8

What is 4/x³?