For x ≠ 0, which expressions are equivalent to one divided by the sixth root of x

Question

Guest

Mathematics

4 September, 02:16

For x ≠ 0, which expressions are equivalent to one divided by the sixth root of x

+1

Answers (1)

Know the Answer?

Jakob Moody · Answer 1

To find which mathematical expression is equivalent to "one divided by the sixth root of x" Given that x ≠ 0

One divided by the sixth root of x can be written mathematically as 1 / (6√x)

6√x is mathematically same as x^1/6

Therefore, 1 / (6√x) = 1 / x^ (1/6)

Mathematically, 1/x^y = x^ (-y)

Therefore, 1 / x^ (1/6) = x^ (-1/6)

Therefore, the mathematical expression which is equivalent to "one divided by the sixth root of x" is x^ (-1/6)