What is (12^{1/4})/(12^{3/4)} ?

The solution to (12^{1/4})/(12^{3/4)} is 1/(2*3^{1/2)}

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simplify (12^{1/4})/(12^{3/4)}

simplify

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

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

Decimal Notation

0.28867 \dots

Solution steps

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

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= 1 2^{\frac{1}{4} - \frac{3}{4}}

Combine the fractions

\frac{1}{4} - \frac{3}{4} : - \frac{1}{2}

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

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

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

\frac{x - 2}{5} - 1 = \frac{x - 9}{6}

2 r^{2} - 7 r + 6

∣ 2 x + 3 ∣ + 2 = ∣ x + 6 ∣

- 2 x^{2} + 3 x + 7 = 0

(\frac{8}{10})^{2}

What is (12^{1/4})/(12^{3/4)} ?
The solution to (12^{1/4})/(12^{3/4)} is 1/(2*3^{1/2)}