Question

Simplify 6/6^1/4 rational exponents

Answer 1

we conclude that:

`\frac{6}{6^{(1)/(4)}}=6^{(3)/(4)}`

Explanation:

Given

The expression is

• 
  `\frac{6}{6^{(1)/(4)}}`

To determine

Simplify the expression

Simplifying the expression

`\frac{6}{6^{(1)/(4)}}`

Apply the exponent rule:
`(x^a)/(x^b)=x^(a-b)`

`\frac{6}{6^{(1)/(4)}}=6^{1-(1)/(4)}`

Subtract the numbers:
`1-(1)/(4)=(3)/(4)`

`=6^{(3)/(4)}`

Therefore, we conclude that:

`\frac{6}{6^{(1)/(4)}}=6^{(3)/(4)}`