<PRE><B>Question 116150</B>
Think of 3.5 as {{{7/2}}}. So {{{5^3.5}}} is equivalent to *[Tex \Large 5^{\frac{7}{2}}]



*[Tex \Large 5^{\frac{7}{2}}] Start with the given expression



*[Tex \Large \sqrt[2]{5^7}] Rewrite the exponent as a radical using the identity *[Tex \LARGE b^{\frac{x}{y}}=\sqrt[y]{b^x}]



*[Tex \Large \sqrt[2]{78125}] Evaluate {{{5^7}}} to get 78,125



*[Tex \Large 279.508497187473] Now take the square root of 78,125 to get 279.508497187473</PRE>