Question

Rewrite in simplest form: x−13÷6x−31​÷6.

a) 1/6x^1/3
b) 1/6
c) 1/216x
d) 1/6^x3
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Answer 1

The simplified form of the expression x−13÷6x−31​÷6 is
`1/6x^(1/3)`. Option A is answer.

Step-by-step explanation:

To simplify the expression, follow these steps:

Rewrite the expression using the reciprocal of division:

x−13÷6 = x−13⋅1/6

Find a common denominator for the two terms:

x−13⋅1/6 = (6x−3)/6

Simplify the expression:

(6x-3)/6 = 1/6(6x-3) =
`1/6x^(1/3)`

In simplifying the given expression x−13÷6x−31​÷6, the approach involves rewriting the expression using the reciprocal of division, leading to the form (6x-3)/6.

By finding a common denominator for the two terms and simplifying further, the final expression is
`1/6x^(1/3)`. Therefore, Option A stands as the correct answer.

This process demonstrates a systematic method for simplifying algebraic expressions, showcasing the step-by-step transformation of the given expression to its simplified form.

Option A is answer.