Question

Simplify 6/6^1/4 rational exponents

Answer 1

Answer:

we conclude that:

$\frac{6}{6^{\frac{1}{4}}}=6^{\frac{3}{4}}$

Step-by-step explanation:

Given

The expression is

• $\frac{6}{6^{\frac{1}{4}}}$

To determine

Simplify the expression

Simplifying the expression

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

Apply the exponent rule:   $\frac{x^a}{x^b}=x^{a-b}$

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

Subtract the numbers:   $1-\frac{1}{4}=\frac{3}{4}$

     $=6^{\frac{3}{4}}$

Therefore, we conclude that:

$\frac{6}{6^{\frac{1}{4}}}=6^{\frac{3}{4}}$