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

4x^3*2x*3x^4

What is 

24x^8

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^2)/(6x^3)

What is 

2/x

Power of Powers

100

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

What is multiply

200

Simplify: 

(z^11)^5

What is 

z^55

300

Simplify: 

(4^3)^2

What is 

4^6

400

Simplify: 

(3y^2)^4

What is 

81y^8

500

Simplify: 

(4x^2y^6)^3

What is 

64x^6y^18

Negative and Zero Exponents

100

Any number raised to the zero power is

What is 1

200

2^0

What is 1

300

Write with a positive exponent.

x^-5

What is 

1/x^5

400

Write using a negative exponent.

1/w^8

What is 

w^-8

500

Write using positive exponents.

(3x^-2y^4)^2

What is 

(9y^8)/(x^4)