Laws of Exponents

Exponents

100

Identify the base: 

3^2

What is 3

200

Identify the exponent 

1^6

What is 6.

300

Write using exponents: (3 x 3 x 3)

What is 

3^3

400

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

What is 

h^5

500

Write in expanded form: 

9^6

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:

5^2 * 5^6

What is 5^8

300

Simplify: 

2x^2 * -4x^3

What is 

-8x^5

400

Simplify:

(8x^3)(-3x^9)

What is 

-24x^12

500

Simplify: 

7c^3 * 2cd * -c^3d^8

What is 

-14c^7d^9

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 

2^3

300

Simplify: 

w^3/w^8

What is 

1/w^5

400

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

What is

3a^4

500

Simplify: 

(-12x^-3)/(-6x^-5)

What is 

2x^2

Adding + Subtracting

100

To add or subtract monomials, _______________ ______  ___________. 

What is combine like terms.

200

Simplify: 

-12ab-2ab

What is 

-14ab

300

Simplify: 

-3r^2s+11r^2s

What is 

8r^2s

400

Simplify: 

-r^3-2r^2-8r^2+5r^3

What is

4r^3-10r^2

500

a^2b^2 +9ab-12ab+3a^2b^2

What is 

4a^2b^2-3ab

Negative and Zero Exponents

100

Any number raised to the zero power is

What is 1

200

2^0

What is 1

300

Simplify: 

(-2)^3n^0

-8

400

Write using a positive exponent w^-5

What is 1/w^5

500

Write x^-1 using positive exponents.

What is 1/x^1