What is (6^{1/3})/(6^{10/3)} ?

The solution to (6^{1/3})/(6^{10/3)} is 1/216

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simplify (6^{1/3})/(6^{10/3)}

simplify

\frac{6 ^{\frac{1}{3}}}{6 ^{\frac{10}{3}}}

\frac{1}{216}

Decimal Notation

0.00462 \dots

Solution steps

\frac{6 ^{\frac{1}{3}}}{6 ^{\frac{10}{3}}}

Apply exponent rule:

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

= 6^{\frac{1}{3} - \frac{10}{3}}

Combine the fractions

\frac{1}{3} - \frac{10}{3} : - 3

= 6^{- 3}

Apply exponent rule:

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

= \frac{1}{6 ^{3}}

6^{3} = 216

= \frac{1}{216}

+ x^{2} - 6 x

- 3 a + 5 a - 10 a

2 - \frac{x + 3}{x + 1} - \frac{x - 5}{x - 1}

(a + \frac{1}{a})^{2}

\frac{55}{12}