Laws of Exponents

Exponents

100

Identify the base: 3²

3

200

Identify the exponent 1⁶

6

300

Write using exponents: (3 x 3 x 3)

3³

400

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

h⁵

500

Write in expanded form: 9 ^ 6

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.

Add

200

Simplify: 5² x 5⁶

5⁸

300

Simplify: 2x^2 times 4x^3

8x^5

400

Simplify: (8x³)(-3x⁹)

-24x¹²

500

Make up your own product of powers question.

hmmm

Quotient of Powers

100

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

Subtract

200

Simplify: 2⁵/2²

2³

300

Simplify: w^3/w^8

w^-5

400

18a⁷/6a³

3a⁴

500

Simplify: 12x²/6x³

2x^-1

Power of Powers

100

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

Multiply

200

Simplify: (z¹¹)⁵

 z⁵⁵

300

Simplify: (4³)²

4⁶

400

Simplify: (14y)⁴

38416y⁴

500

Simplify: (x²y⁶)³

x⁶y¹⁸

Negative and Zero Exponents

100

Any number raised to the zero power is

1

200

2⁰

1

300

To write a negative fraction using positive exponents, you must make a

fraction

400

Write using a positive exponent w^-5

1/w⁵

500

Write x^-1 using positive exponents.

1/x¹