# Math Help - Rational Exponents

1. ## Rational Exponents

I didn't seem to get the right answer for this one:

$\sqrt[3]{2b^3}$

$(2b)^\frac33$

$2^\frac13b$
2. $\sqrt[3]{2b^{3}} = (2b^{3})^{\frac{1}{3}}$
So $(2b^{3})^{\frac{1}{3}} = 2^{\frac{1}{3}} \cdot (b^{3})^{\frac{1}{3}} = 2^{\frac{1}{3}}b$