6.2 - Properties of Rational Exponents and Radicals

Front

Simplify 3^4 ⋅ 3^7

Back

3^11

Front

Simplify x^(4/3)

Back

x^(4/3)

Front

Simplify √(48)

Back

4√3

Front

Simplify 2x^3y^5 * 5xy^2

Back

10x^4y^7

Front

Simplify 4^(-2)

Back

1/16

Front

Define Rational Exponent

Back

An exponent that is a fraction, representing both a power and a root.

Front

What is the property of exponents for multiplying like bases?

Back

a^m ⋅ a^n = a^(m+n)

Front

What is the property of exponents for dividing like bases?

Back

a^m / a^n = a^(m-n)

Front

What is the property of exponents for raising a power to a power?

Back

(a^m)^n = a^(m*n)

Front

What is the square root of x^2?

Back

x (assuming x ≥ 0)