Simplify 6/(6^(1/4))

$\frac{6}{6^{\frac{1}{4}}}$

Step 1

Move $6^{\frac{1}{4}}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$6 \cdot 6^{- \frac{1}{4}}$

Step 2

Multiply $6$ by $6^{- \frac{1}{4}}$ by adding the exponents.

Multiply $6$ by $6^{- \frac{1}{4}}$ .

Raise $6$ to the power of $1$ .

$6^{1} \cdot 6^{- \frac{1}{4}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6^{1 - \frac{1}{4}}$

Write $1$ as a fraction with a common denominator.

$6^{\frac{4}{4} - \frac{1}{4}}$

Combine the numerators over the common denominator.

$6^{\frac{4 - 1}{4}}$

Subtract $1$ from $4$ .

$6^{\frac{3}{4}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$6^{\frac{3}{4}}$

Decimal Form:

$3.83365862 \dots$