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Popular >

simplify (3^{1/3})/(3^{7/3)}

Solution

simplify

\frac{3 ^{\frac{1}{3}}}{3 ^{\frac{7}{3}}}

Solution

\frac{1}{9}

+1

Decimal Notation

0.11111 \dots

Solution steps

\frac{3 ^{\frac{1}{3}}}{3 ^{\frac{7}{3}}}

Apply exponent rule:

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

= 3^{\frac{1}{3} - \frac{7}{3}}

Combine the fractions

\frac{1}{3} - \frac{7}{3} : - 2

= 3^{- 2}

Apply exponent rule:

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

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

3^{2} = 9

= \frac{1}{9}

Popular Examples

factor 3g^2-7g+2 factor

3 g^{2} - 7 g + 2

x=0.1572*0.05^2*0.1^2

x = 0.1572 \cdot 0.0 5^{2} \cdot 0. 1^{2}

- 12 = - 9 w

simplify (y^{-7})/(y^{-13)}simplify

\frac{y ^{- 7}}{y ^{- 13}}

x^{2} - \frac{3}{4} x = 5

Frequently Asked Questions (FAQ)

What is (3^{1/3})/(3^{7/3)} ?
The solution to (3^{1/3})/(3^{7/3)} is 1/9