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Rational Exponents Mr. Solórzano – Algebra 1

Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents

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Page 1: Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents

Rational Exponents

Mr. Solórzano – Algebra 1

Page 2: Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents

Objectives• To simplify expressions with radical exponents• To write radical expressions using rational exponents• To write expressions with rational exponents as radicals

Essential Question• Why is it important to know the conversions

between radical expressions and rational exponents?

Page 3: Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents
Page 4: Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents
Page 5: Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents

Rewrite each of the following as a single power of 3

a)

b) ()7

Page 6: Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents
Page 7: Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents

Rewrite each of the following in radical form

Page 8: Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents

Closing Activity *Note* Remember all properties of exponents

• Rewrite as a single power of 5. Carefully show each step of your work

• Rewrite each of the following as a single power of 11.a. ) b.

Page 9: Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents

Rewrite as a single power of 5. Carefully show each step of your work

Page 10: Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents

• Rewrite each of the following as a single power of 11.a. )

Page 11: Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents

• Rewrite each of the following as a single power of 11.b.