5 raised to 5 all over 3rd root of 5 raised to 7

asked by guest
on Nov 14, 2024 at 5:42 pm



You asked:

Evaluate the expression: 55573\frac{{5}^{5}}{\sqrt[3]{{5}^{7}}}

MathBot Answer:

55573=25⋅523≈73.10044345532165163766968400344807\frac{{5}^{5}}{\sqrt[3]{{5}^{7}}} = 25 \cdot 5^{\frac{2}{3}} \approx 73.10044345532165163766968400344807

55573=55⋅1573=3125⋅1573=3125⋅1781253=3125⋅125⋅53=25⋅523\begin{aligned}\frac{{5}^{5}}{\sqrt[3]{{5}^{7}}}&=5^{5} \cdot \frac{1}{\sqrt[3]{5^{7}}}\\&=3125 \cdot \frac{1}{\sqrt[3]{5^{7}}}\\&=3125 \cdot \frac{1}{\sqrt[3]{78125}}\\&=3125 \cdot \frac{1}{25 \cdot \sqrt[3]{5}}\\&=25 \cdot 5^{\frac{2}{3}}\end{aligned}

+ Submit Question