Evaluating Numerical Expressions with Rational Exponents

Vocabulary and evaluation flashcards for 9th Grade Algebra 1 topic on evaluating numerical expressions with rational exponents.

Rational Exponent Denominator

In a rational exponent, the denominator tells you the root.

Rational Exponent Numerator

In a rational exponent, the numerator tells you the power.

$$4^{1/2}$$

$$(\sqrt[2]{4})^1 = 2^1 = 2$$

$$9^{1/2}$$

$$(\sqrt[2]{9})^1 = 3^1 = 3$$

$$16^{1/2}$$

$$(\sqrt[2]{16})^1 = 4^1 = 4$$

$$8^{1/3}$$

$$(\sqrt[3]{8})^1 = 2^1 = 2$$

$$27^{1/3}$$

$$(\sqrt[3]{27})^1 = 3^1 = 3$$

$$64^{1/3}$$

$$(\sqrt[3]{64})^1 = 4^1 = 4$$

$$4^{3/2}$$

$$(\sqrt[2]{4})^3 = 2^3 = 8$$

$$8^{2/3}$$

$$(\sqrt[3]{8})^2 = 2^2 = 4$$

$$27^{2/3}$$

$$(\sqrt[3]{27})^2 = 3^2 = 9$$

$$16^{3/4}$$

$$(\sqrt[4]{16})^3 = 2^3 = 8$$