Power Up!

Name It!

100

In the expression a^x, what do we call a?

Base

200

It tells us how many times we should multiply our base.

Exponent

300

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

Product Law

400

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

Quotient Law

500

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

Inverse Law

Raise and Simplify

100

What is 8²?

64

200

What is 3⁴?

81

300

What is 10⁵?

100,000

400

What is the value when we raise 4 to the 5th power?

256

500

What is the value of 6 raised to 3?

216

What Am I?

100

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

Power of a Power Law

200

For any nonzero real number a, a⁰=1.

Zero Exponent Law

300

For any nonzero real number a, a¹=a.

Identity Law

400

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

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