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: 9 ^-6

What is 1/ 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

4x² times 2x³

What is 8x⁵

400

Simplify: (8x³)(-3x⁹)

What is -24x¹²

500

(3^-2)(3^-2)

3⁴  or 81

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 and write with a positive exponent: 

w³/w⁸

What is 1/w⁵

400

18³/6³

What is 3³  or 27

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: (2y)⁴

What is 16y⁴

500

Simplify: (x²y⁶)³

What is x⁶y¹⁸

Negative and Zero Exponents

100

Any number raised to the zero power is

What is 1

200

(2x²y⁶z⁹)⁰

What is 1

300

-6^-2

- 1/6² or -1/36

400

Write using a positive exponent w^-5

What is 1/w⁵

500

Simplify (2/3)^-2 with NO exponents

What is 9/4?