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Popular >

simplify 3b^{1/2}*b^{4/3}

Solution

simplify

3 b^{\frac{1}{2}} \cdot b^{\frac{4}{3}}

Solution

3 b^{\frac{11}{6}}

Solution steps

3 b^{\frac{1}{2}} b^{\frac{4}{3}}

Apply exponent rule:

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

b^{\frac{1}{2}} b^{\frac{4}{3}} = b^{\frac{1}{2} + \frac{4}{3}}

= 3 b^{\frac{1}{2} + \frac{4}{3}}

\frac{1}{2} + \frac{4}{3} = \frac{11}{6}

= 3 b^{\frac{11}{6}}

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Frequently Asked Questions (FAQ)

What is 3b^{1/2}*b^{4/3} ?
The solution to 3b^{1/2}*b^{4/3} is 3b^{11/6}