In Exercises 47–54, find each cube root.
________
³√−27/1000

Question

Accepted Answer

Welcome back. I am so glad you're here. We're asked to determine the cube rut in the given expression. Our given expression is the cubed root of negative 1330 firsts. So the cubed root of the fraction negative 512 divided by 1331. Our answer choices are answer choice. A 11 8th, answer choice B 8/11 answer choice C negative 8th and answer choice D negative 8/11. Well, we recall from previous lessons that we can take, when we have the root of a fraction, we can take that same root. So in this case, the cubed root of both the numerator and the denominator. So we can take the cubed root of the numerator. So the cubed root of negative 512 and divide that by the cubed threat of the denominator. So the cubed threat of 1,331. And so when we take the cubed rut, we're asking ourselves what multiplied by itself three times equals the number inside of the radical. And we can take the cubed rut of a negative number. So in the numerator, the cubed rut or what multiplied by itself three times equals negative 512. The cubed rut is a negative eight. And in the denominator, the cube dr of 1331 is 11. So this simplifies two negative 8/11. We look at our answer choices and this matches with answer choice. D well done. We'll catch you on the next one.

In Exercises 47–54, find each cube root. ________ ³√−27/1000

Key Concepts

Cube Roots

Rational Numbers

Properties of Exponents

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