Power Up!

Name It!

100

This law of exponent tells us to subtract the exponents when dividing expressions having the same base.

Quotient Law

200

This law of exponent tells us to add the exponents when multiplying expressions having the same base.

Product Law

300

For any real numbers a,b and integers x,y,z, (a^x * b^y)^z = a^x*z * b^y*z.

Power of a Product Law

400

For any real number a and integers x and y, (a^x)^y= a^x*y.

Power of a Power Law

500

For any real numbers a,b and integers x,y,z, (a^x/b^y)^z=a^x*z/b^y*z.

Power of a Quotient Law

What Am I?

100

I am the law which states that for any nonzero real number a, a⁰=1.

What special law am I?

Zero Exponent Law

200

I am the law of exponent which tells us that if we raise any real number a to -x, we get 1/a^x.

What special law am I?

Inverse Law

300

I am the law which states that for any nonzero real number a, a¹=a.

What special law am I?

Identity Law

400

I am the law that makes 4¹¹/4⁷ equal to 4⁴. What law am I? 

Quotient Law

500

I am the law that makes (8²)² equal to 2¹².What law am I?

Power of a Power Law

Raise and Simplify

100

What is 8² * 8⁶?

8⁸

200

What is (9⁵)⁵?

9²⁵

300

What is (10⁵/7²)²?

10^10/7⁴

400

What is (6² * 7³ ) raised to 3?

6⁶ * 7⁹

500

What is 3⁴/ 3²?

3² or 9