What is sqrt(5)cb^{3/2}sqrt(a) ?

The solution to sqrt(5)cb^{3/2}sqrt(a) is 5^{1/2}cb^{3/2}a^{1/2}

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simplify sqrt(5)cb^{3/2}sqrt(a)

simplify

5 c b^{\frac{3}{2}} a

5^{\frac{1}{2}} c b^{\frac{3}{2}} a^{\frac{1}{2}}

Solution steps

5 c b^{\frac{3}{2}} a

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

5 a = (5 a)^{\frac{1}{2}}

= c b^{\frac{3}{2}} (5 a)^{\frac{1}{2}}

(5 a)^{\frac{1}{2}} = 5^{\frac{1}{2}} a^{\frac{1}{2}}

= 5^{\frac{1}{2}} c b^{\frac{3}{2}} a^{\frac{1}{2}}

(\frac{5}{6})^{2} e^{- (\frac{5}{6})}

(e^{2 t}) (4 e^{- 2 t})

e^{- 0.8 (10)}

0.4 \cdot 1 0^{- 1}

What is sqrt(5)cb^{3/2}sqrt(a) ?
The solution to sqrt(5)cb^{3/2}sqrt(a) is 5^{1/2}cb^{3/2}a^{1/2}