Exponent Rules - McFarland

Multiplying

100

x^3*x^6

x^9

200

6^12*6^8

6^20   

300

2x^5*4x^7

8x^12

400

(4f^8m^3)(4f^4m^2)

16f^12m^5

Dividing

100

4^5/4^2

4^3

200

x^7/x^3

x^4

300

(24y^10)/(4y^3)

6y^7

400

(-30x^5y^9)/(5x^4y)

-6xy^8

Power of a Power

100

(2^3)^4

2^12

200

(d^2)^4

d^8

300

(3b^4)^3

27b^12

OR

3^3b^12

400

(-4w^5xy^2)^4

256w^20x^4y^8

OR

(-4)^4w^20x^4y^8

Mixed Bag

100

Evaluate 

54^1

54

200

(2^3*4^4)^0

1

  Any number (except 0) to the power of 0 is 1.

300

Evaluate 

9^5

59049

400

Write the following expression with positive exponents 

h^-5

1/(h^5)

Vocabulary and More

100

What is the Base and what is the Exponent the following expression?

8^4

Base: 8

Exponent: 4

200

What is the rule when Multiplying like bases? 

for example:

2^5*2^3

Keep the base, ADD the exponents. 

300

What is the rule when Dividing like bases? 

for example:

(5^7)/5^4

Keep the base, SUBTRACT the exponents 

400

What is the rule when Take the Power of a Power with like bases? 

for example:

(4^3)^2

Keep the base, MULTIPLY the exponents