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Sophia College Algebra Unit 1 Milestone 1

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 19 questions were answered correctly. 2 questions were answered incorrectly. Write the expression as a single power of b.       UNIT 1 — MILESTONE 1 SCORE 19/21 C ... ONCEPT  Properties of Fractional and Negative Exponents 2 RATIONALE Start by simplifying the terms in the parentheses. Using the Quotient Property of Exponents, divide the two terms that have the same base by subtracting the exponents, and . When subtracting fractions, make sure that the denominators are the same. For this question, you can make both denominators 4, so you only need to change the first fraction. To do this, multiply both the numerator and denominator by 2. Now that there are common denominators, we can subtract the numerators while keeping the denominator the same. minus equals . Next, apply the Power Property of Exponents to multiply the two exponents, and , to write b as a single power. times equals . The simplified expression is . Report an issue with this question Simplify the following radical expression [Show More]

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