What is (10^{1/3}*3^{1/3})/(5^{1/3)} ?

The solution to (10^{1/3}*3^{1/3})/(5^{1/3)} is 6^{1/3}

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simplify (10^{1/3}*3^{1/3})/(5^{1/3)}

simplify

\frac{1 0 ^{\frac{1}{3}} \cdot 3 ^{\frac{1}{3}}}{5 ^{\frac{1}{3}}}

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

Decimal Notation

1.81712 \dots

Solution steps

\frac{1 0 ^{\frac{1}{3}} \cdot 3 ^{\frac{1}{3}}}{5 ^{\frac{1}{3}}}

Factor

1 0^{\frac{1}{3}} : 5^{\frac{1}{3}} \cdot 2^{\frac{1}{3}}

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

Cancel the common factor:

5^{\frac{1}{3}}

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

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

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

x^{2} + x - 6 \leq 0

n^{2} + 16 n + 64

13 y^{2} - 5 y x - 8 x^{2}

(\frac{5}{4})^{2}

\frac{3}{4} (- 8)

What is (10^{1/3}*3^{1/3})/(5^{1/3)} ?
The solution to (10^{1/3}*3^{1/3})/(5^{1/3)} is 6^{1/3}