What is k^{0.5}*((18k)/(13))^{0.5} ?

The solution to k^{0.5}*((18k)/(13))^{0.5} is (3sqrt(2)k)/(13^{0.5)}

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simplify k^{0.5}*((18k)/(13))^{0.5}

simplify

k^{0.5} \cdot (\frac{18 k}{13})^{0.5}

\frac{3 2 k}{1 3 ^{0.5}}

Solution steps

k^{0.5} (\frac{18 k}{13})^{0.5}

Simplify

(\frac{18 k}{13})^{0.5} : \frac{3 \cdot 2 ^{\frac{1}{2}} k ^{\frac{1}{2}}}{1 3 ^{0.5}}

= k^{0.5} \frac{3 \cdot 2 ^{\frac{1}{2}} k ^{\frac{1}{2}}}{1 3 ^{0.5}}

Apply the fraction rule:

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

= \frac{k ^{0.5} \cdot 3 \cdot 2 ^{\frac{1}{2}} k ^{\frac{1}{2}}}{1 3 ^{0.5}}

Simplify

k^{0.5} k^{\frac{1}{2}} : k

= \frac{k \cdot 3 \cdot 2 ^{\frac{1}{2}}}{1 3 ^{0.5}}

= \frac{3 \cdot 2 ^{\frac{1}{2}} k}{1 3 ^{0.5}}

Apply exponent rule:

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

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

= \frac{3 2 k}{1 3 ^{0.5}}

(2 \cdot 4) (3 \cdot 5)

3 (32)

- \frac{1}{2} e^{- x^{2}}

e^{a t} \cdot e^{b t}

What is k^{0.5}*((18k)/(13))^{0.5} ?
The solution to k^{0.5}*((18k)/(13))^{0.5} is (3sqrt(2)k)/(13^{0.5)}