Properties of Exponents

Product Rule(Multiplication)

100

Simplify the expresion:

4^3*4^6

4^9

200

What operation do you use to combine the exponents when applying the product rule?

What is addition?

300

Simplify the expression:

x^6*y^12*x^2

x^8*y^12

400

Simplify the expression to a single exponent and give the value:

2^3*2^2

2^5=32

500

Write a different expression that's equivalent to the expression below:

5^3*5^5

Answers vary

Quotient Rule(Division)

100

Simplify the expression:

z^20/z^6

z^14

200

Simplify the expression:

10^8/10^6

10^2

300

What operation do you use to combine exponents when applying the quotient rule?

What is subtraction?

400

Simplify the expression:

x^5/x^-6

x^11

500

Write a different expression that's equivalent to the expression below:

3^15/3^3

Answers vary

Power of a Power & Negative Exponent

100

Simplify the expression:

(x^3)^5

x^15

200

Simplify the expression:

4^-10

1/4^10

300

What operation do you use to combine the exponents when applying the Power of a Power rule?

What is multiplication?

400

Simplify the expression to a single exponent and give me the value:

(10^2)^3

10^6=1,000,000

500

What happens to the exponent when applying the negative exponent rule?

What is the sign of the exponent changes?

Exponent Facts

100

Which number is the base number in this expression:

7^10

7

200

Which number is the exponent in this expression:

10^4

4

300

True or False:

4^3>5^4

False

400

Expand this expression:

10^5/10^3

(10*10*10*10*10)/(10*10*10)

500

True or False:

10^2>5^3

False