Chapter 11 - Additional Topics - 11.3 - Fractional Exponents - Problem Set 11.3 - Page 489: 52

$x^{\frac{7}{12}}$

Work Step by Step

Recall the following rule: $a^{n}+a^{m}=a^{n+m}$ Thus, we obtain: $x^{\frac{1}{3}}\times x^{\frac{1}{4}}$ =$x^{\frac{1}{3}+\frac{1}{4}}$ =$x^{\frac{4+3}{12}}$ =$x^{\frac{7}{12}}$

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