What is k^{0.5}*((16k)/5)^{0.5} ?

The solution to k^{0.5}*((16k)/5)^{0.5} is (4k)/(5^{0.5)}

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simplify k^{0.5}*((16k)/5)^{0.5}

simplify

k^{0.5} \cdot (\frac{16 k}{5})^{0.5}

\frac{4 k}{5 ^{0.5}}

Solution steps

k^{0.5} (\frac{16 k}{5})^{0.5}

Simplify

(\frac{16 k}{5})^{0.5} : \frac{4 k ^{\frac{1}{2}}}{5 ^{0.5}}

= k^{0.5} \frac{4 k ^{\frac{1}{2}}}{5 ^{0.5}}

Apply the fraction rule:

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

= \frac{k ^{0.5} \cdot 4 k ^{\frac{1}{2}}}{5 ^{0.5}}

Simplify

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

= \frac{k \cdot 4}{5 ^{0.5}}

= \frac{4 k}{5 ^{0.5}}

5.25 \cdot 1 0^{- 7}

- 5 a^{2} b^{2} (2 a^{2} b^{2} - 5 a + 2 b)

30 3^{2}

e^{(- \frac{100000}{( 8.31 \cdot 328 )})}

What is k^{0.5}*((16k)/5)^{0.5} ?
The solution to k^{0.5}*((16k)/5)^{0.5} is (4k)/(5^{0.5)}