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 · 3 · 3)

What is 3³

400

Write using exponents: 

h · h · h · h · h

What is h⁵

500

Write in expanded form: 

9⁶

What is 9 · 9 · 9 · 9 · 9 · 9

Product of Powers

100

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

What is add.

200

Simplify: 

5² · 5⁶

What is 5⁸

300

Simplify: 

2x² · 4x³

What is 8x⁵

400

Simplify:

(8x³)(-3x⁹)

What is -24x¹²

500

Simplify: 

(-7x^-4)(-2x⁶)

What is 14x²

Quotient of Powers

100

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

What is subtract

200

Simplify:

2^5/2^2

What is 2³

300

Simplify: 

w^3/w^8

What is w^-5 or 

1/w^5

400

Simplify: 

(18a^7)/(6a^3)

What is 

3a^4

500

Simplify: 

(12x^2)/(6x^3)

What is 2x^-1 or

2/x^1

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 or 14⁴y⁴

500

Simplify: 

(x²y⁶)³

What is x⁶y¹⁸

Negative and Zero Exponents

100

Any value raised to the zero power is...

What is 1

200

2⁰

What is 1

300

To express a negative exponent using a positive exponent, you must turn it into a...

What is fraction.

400

Write using a positive exponent w^-5

What is 

1/w^5

500

Write 3x^-10 using positive exponents.

What is 

3/x^10