The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
$2y\left(\frac{\sqrt{m}}{\sqrt{c}}\right)$
2
Multiplying the fraction by $2y$
$\frac{2\sqrt{m}y}{\sqrt{c}}$
Final answer to the problem
$\frac{2\sqrt{m}y}{\sqrt{c}}$
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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.