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The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
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$\frac{\sqrt{e^{5x}\sin\left(e^{\tan\left(e^x\right)}\right)}}{\sqrt{2}}$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression ((e^(5x)sin(e^tan(e^x)))/2)^1/2. 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}. Calculate the power \sqrt{2}. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{e^{5x}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5x and n equals \frac{1}{2}.