![{\sqrt[4]{15}}^{7} = {15}^{ \frac{7}{4} }](/tpl/images/1187/0986/e72d4.png)
![(x^y)^z = x^{y\cdot z}\\\\\sqrt[y]{x} = x^{\frac{1}{y}}\\\\\sqrt[y]{x^z} = (x^z)^{\frac{1}{y}} = x^{\frac{z}{y}}\\\\\textrm{Using the last one we know:}\\\sqrt[4]{15^7} = 15^\frac{7}{4}\\\\\textrm{And bonus, not needed in this task:}\\x^y \cdot x^z = x^{y+z}](/tpl/images/1187/0986/65975.png)
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