What is 2^{1/3}a^{2/3}b^{1/3} ?

The solution to 2^{1/3}a^{2/3}b^{1/3} is 2^{1/3}a^{2/3}b^{1/3}

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simplify 2^{1/3}a^{2/3}b^{1/3}

simplify

2^{\frac{1}{3}} a^{\frac{2}{3}} b^{\frac{1}{3}}

2^{\frac{1}{3}} a^{\frac{2}{3}} b^{\frac{1}{3}}

Solution steps

2^{\frac{1}{3}} a^{\frac{2}{3}} b^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

2^{\frac{1}{3}} b^{\frac{1}{3}} = (2 b)^{\frac{1}{3}}

= a^{\frac{2}{3}} (2 b)^{\frac{1}{3}}

(2 b)^{\frac{1}{3}} = 2^{\frac{1}{3}} b^{\frac{1}{3}}

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

3 e^{- 3} (1 + (- 3))

\frac{1}{3} (e^{3 t} - 1)^{2} e^{- 5 t}

e^{- 0.15 \frac{1}{4}}

e^{(- 4 x)}

What is 2^{1/3}a^{2/3}b^{1/3} ?
The solution to 2^{1/3}a^{2/3}b^{1/3} is 2^{1/3}a^{2/3}b^{1/3}