What is 2^{1/3}*12^{2/3}*6^{1/3} ?

The solution to 2^{1/3}*12^{2/3}*6^{1/3} is 12

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simplify 2^{1/3}12^{2/3}6^{1/3}

simplify

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

12

Solution steps

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

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

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

Multiply the numbers:

2 \cdot 6 = 12

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

Join

\frac{1}{3} + \frac{2}{3} : 1

= 1 2^{1}

Apply rule

a^{1} = a

= 12

2.3 \cdot 1 0^{- 14} \cdot 0.13 3^{7} \cdot 9 0^{2}

8.88 \cdot 1 0^{- 8}

\frac{4}{3} π (\frac{0.16}{0.8 π})^{3}

e^{- (95 - 85)}

e^{- 5} \cdot \frac{5 ^{3}}{3 !}

What is 2^{1/3}*12^{2/3}*6^{1/3} ?
The solution to 2^{1/3}*12^{2/3}*6^{1/3} is 12