Fundamentals of Math

Fundamentals of Mathematics

Conversion Between Exponential and Radical Form Radicals and exponents often go hand in hand because all tough they visually look different they represent the same quantities. When solving order of operations problems (remember PEMDAS), radicals are solved at the same time of exponents in terms of priority. This is because radicals are exponential fractions. √5 2 3 = 5 2 3⁄

↔

Radicand

Base of the Exponent

↔ Denominator of the Exponent

Index

Radicand’s Exponent ↔

Numerator of the Exponent

If no exponent is written in for the radicand (and a lot of times it is not written in), then it is assumed to be 1.

Practice 3.2.2

Directions: Match the radical on the left to its exponential form on the right.

A. 5 3 B. 8 4 C. 6 3 D. 9 7 E. 4 1

√6 3 2

2⁄

1. _________

√8 4

2⁄

2. _________

√4 3

2⁄

3. _________

√5 3 √9 7 3

3⁄

4. _________

3⁄

5. _________

Answer Key on Page 119

3.3 Expressions and Equations In English, there are phrases and sentences. A phrase is a group of words that does not include a subject-verb; it is an incomplete thought; for example, "swimming very fast." Phrases can be linked together with the addition of a subject and a verb to form a complete sentence. The phrase offers more details into the sentence. For example, "The children were swimming very fast."

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