What is (4(5)^{1/2})/(6(5)^{3/4)} ?

The solution to (4(5)^{1/2})/(6(5)^{3/4)} is 2/(3*5^{1/4)}

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simplify (4(5)^{1/2})/(6(5)^{3/4)}

simplify

\frac{4 ( 5 ) ^{\frac{1}{2}}}{6 ( 5 ) ^{\frac{3}{4}}}

\frac{2}{3 \cdot 5 ^{\frac{1}{4}}}

Decimal Notation

0.44582 \dots

Solution steps

\frac{4 \cdot 5 ^{\frac{1}{2}}}{6 \cdot 5 ^{\frac{3}{4}}}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 2 \cdot 5 ^{\frac{1}{2}}}{6 \cdot 5 ^{\frac{3}{4}}}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 2 \cdot 5 ^{\frac{1}{2}}}{2 \cdot 3 \cdot 5 ^{\frac{3}{4}}}

Cancel the common factor:

2

= \frac{2 \cdot 5 ^{\frac{1}{2}}}{3 \cdot 5 ^{\frac{3}{4}}}

Simplify

\frac{5 ^{\frac{1}{2}}}{5 ^{\frac{3}{4}}} : \frac{1}{5 ^{\frac{1}{4}}}

= \frac{2}{3 \cdot 5 ^{\frac{1}{4}}}

\frac{t}{6} \geq 14

x^{2} + 3 x - 18 < 0

∣ 20 - 3 y ∣ = 18

\frac{x}{6} + \frac{1}{2} = \frac{5}{12}

\frac{1 + 8 i}{- 2 - i}

What is (4(5)^{1/2})/(6(5)^{3/4)} ?
The solution to (4(5)^{1/2})/(6(5)^{3/4)} is 2/(3*5^{1/4)}