Zero and Negative Exponents
Properties of Exponents
Finding x
(all questions start with "What is x= ...?")
Rules
100

This is the simplified form of  2^0 

What is 1?

100

This is the simplified form of 6^4 * 6^2, using the Product of Powers property

What is 6^6 ?

100

(ab)^3(ab)^x = (ab)^5

What is x=2?

100

Exponental forms  a^x  are comprised of

a which is called the _____ 

and x which is called the _____.

What is the base, and the exponent (or power)?

200

This is the only number which cannot be raised to the 0 power, making the result undefined.

What is 0?

200

This is the simplified result of (3^7)/(3^4), using the Quotient of Powers property

What is 3^3 ?

200

m^8/m^3=m^x

What is x=5?

200

The Product Rule of Exponents states

a^m\dota^n=

What is 

a^(m+n)

300

This is the simplified fraction form of  5^-2 

What is 

1/(25)

300

This is the simplified result of  (9^2)^3, using the Power of a Power property

What is  9^6?

300

(r/s)^4=r^4/s^x

What is x=4?

300

The Quotient Rule of Exponents states

a^m/a^n=

What is 

a^(m-n)

400

It's the positive exponential form of   a^-n

What is 

1/(a^n)

400

This is the simplified form of  (x*y^2)^2, using the Power of a Product Property.

What is 

x^2*y^4?

400

 x^x= UNDEFINED

What is x=0?

400

The Negative Rule states

a^-n=

What is 

1/a^n