What is 5(sqrt(x))^4*1/(2sqrt(x)) ?

The solution to 5(sqrt(x))^4*1/(2sqrt(x)) is (5xsqrt(x))/2

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simplify 5(sqrt(x))^4*1/(2sqrt(x))

simplify

5 (x)^{4} \cdot \frac{1}{2 x}

\frac{5 x x}{2}

Solution steps

5 (x)^{4} \frac{1}{2 x}

Simplify

(x)^{4} : x^{2}

= 5 x^{2} \frac{1}{2 x}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{5 x ^{2} \cdot 1}{2 x}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{5 x ^{2}}{2 x}

Apply radical rule:

a = a^{\frac{1}{2}}

x = x^{\frac{1}{2}}

= \frac{5 x ^{2}}{2 x ^{\frac{1}{2}}}

Simplify

\frac{x ^{2}}{x ^{\frac{1}{2}}} : x x

= \frac{5 x x}{2}

\frac{2 ^{n}}{3 ^{n}}

\frac{- 48}{16}

2 x \cdot 1 - x

x (x + 3)

What is 5(sqrt(x))^4*1/(2sqrt(x)) ?
The solution to 5(sqrt(x))^4*1/(2sqrt(x)) is (5xsqrt(x))/2