The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
$\frac{\sqrt{x}}{\sqrt{6}}$
2
Calculate the power $\sqrt{6}$
$\frac{\sqrt{x}}{\sqrt{6}}$
Final answer to the problem
$\frac{\sqrt{x}}{\sqrt{6}}$
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The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.