Sophia Milestone 1 College Algebra with Correct VERIFIED answers.( best of 2021)

Sophia Milestone 1 College Algebra with Correct VERIFIED answers.( best of 2021) UNIT 1 — MILESTONE 1 Score 18/21 You passed this Milestone 18 questions were answered correctly. 3 questions were answered incorrectly. 1 Simplify the following radical expression. RATIONALE To simplify this expression, we can use the Product Property of Radicals to separate the expression into two radicals. The cube root of can be written as the cube root of 64 times the cube root of . Next, we can write each radical expression using a fractional exponent in order to simplify. The index of the radical determines the denominator of the fractional exponent. The index here is 3, so each expression underneath the radical will be raised to the power. Now that we have changed our original expression from a radical to fractional exponents, we can evaluate and simplify the two expressions that are raised to the power. to the power of evaluates to 4 because 4 raised to the 3rd power is 64 ( ). To simplify , we multiply the two exponents together. 3 times equals 1 and is simply x. The expression simplifies to 4x.