14.8k views
4 votes
Rewrite the expression x − 5 /7 in radical form.

1 Answer

5 votes

Final answer:

To rewrite x - 5/7 in radical form, recognize that division can be expressed as a negative exponent and rewrite the expression as x × 7^-1, which translates to x multiplied by the 7th root of 7.

Step-by-step explanation:

To rewrite the expression x − 5 /7 in radical form, you should first recognize that dividing by a number is the same as multiplying by that number's negative exponent. Applying this idea, we can write the expression as x × 7−1. Since we are dealing with an expression where the number is raised to the power of a fraction, we can use radicals.

For instance, using the property that x2 = √ x because squaring the square root of x yields x, we can express exponents as roots. Therefore, x1/2 is the square root of x, and in general xa/b is the bth root of x raised to the ath power.

Following this logic, x × 7−1 can be written in radical form as x × 1/ √[7], since 7−1 = 1 / 71 = 1 / √[7], where √[7] represents the 7th root of the number.

User Viraj Doshi
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories