Properties of Exponents with Ms B

Name that Property

100

a⁰=1

What is The Zero Exponent Property?

200

(ab)^m = (a^m)(b^m)

What is The Power of a Product Property?

300

(a/b)^m = (a^m)/(b^m)

What is the Power of a Quotient Property?

400

(a^m)(aⁿ) = a^(m+n)

What is the Product of Powers Property?

500

(a^m)ⁿ = a^mn

What is the Power of a Power Property?

Negative and Zero Exponents

100

4⁰ = ?

1

200

-4,783,312,901⁰ = ?

-1

300

(y⁰)⁸

1

400

(x³)^-1

1/x³

500

a^-5

1/a⁵

Quotient of Powers and Power of a Quotient

100

(a^m)/(aⁿ) = ?

a^m-n

200

y⁶/y³

y³

300

x¹⁰/x³ = ?

x⁷

400

x²⁴/x²³ = ?

x

500

(x⁴)/(x⁹)

1/x⁵

Product of Powers and Power of a Product

100

(a²)(a⁵) = ?

a⁷

200

(a²)(a²) = ?

a⁴

300

(a¹b³)⁴ = ?

(a⁴)(b¹²)

400

(x⁷y⁴)⁷

(x⁴⁹)(y²⁸)

500

(a⁶)(b⁴) = ?

(a⁶)(b⁴) - this cannot be simplified because a and b are different.

Power of a Power

100

(a^m)ⁿ= ?

a^mn

200

(x³)⁶

x¹⁸

300

(b⁷)⁷

b⁴⁹

400

(y³)¹¹

y³³

500

(b⁹)¹⁰

b⁹⁰