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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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$f\left(5\right)=\frac{\sqrt{3x+8}}{\sqrt{x\left(x-2\right)^2}}$
Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(5)=((3x+8)/(x(x-2)^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}. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{\left(x-2\right)^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. Multiply 2 times \frac{1}{2}.