5. Exponential Functions

5.01 Operations with numerical radicals

5.02 Rational exponents

5.03 Exponential relationships

5.04 Characteristics of exponential functions

5.05 Exponential growth and decay

5.06 Percent growth and decay

5.07 Simple interest

5.08 Compound interest

United States of America FL

Grade 912

5.02 Rational exponents

Adaptive

Worksheet

Interactive practice questions

Rewrite the rational exponent $3^{\frac{4}{7}}$347 as a simplified radical expression.

Easy

< 1min

Rewrite the radical expression $\sqrt[9]{7^6}$⁹√76 as a fully simplified rational exponent.

Easy

1min

Express $\sqrt[5]{5}$⁵√5 in exponential form.

Easy

< 1min

Express $\sqrt[7]{71}$⁷√71 in exponential form.

Easy

< 1min

Outcomes

MA.912.NSO.1.1

Extend previous understanding of the Laws of Exponents to include rational exponents. Apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions involving rational exponents.

MA.912.NSO.1.2

Generate equivalent algebraic expressions using the properties of exponents.

MA.912.NSO.1.4

Apply previous understanding of operations with rational numbers to add, subtract, multiply and divide numerical radicals.

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