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Popular >

simplify 4^{1/3}*4^{5/3}

Solution

simplify

4^{\frac{1}{3}} \cdot 4^{\frac{5}{3}}

Solution

16

Solution steps

4^{\frac{1}{3}} \cdot 4^{\frac{5}{3}}

Apply exponent rule:

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

4^{\frac{1}{3}} \cdot 4^{\frac{5}{3}} = 4^{\frac{1}{3} + \frac{5}{3}}

= 4^{\frac{1}{3} + \frac{5}{3}}

\frac{1}{3} + \frac{5}{3} = 2

= 4^{2}

4^{2} = 16

= 16

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Frequently Asked Questions (FAQ)

What is 4^{1/3}*4^{5/3} ?
The solution to 4^{1/3}*4^{5/3} is 16