Question

evaluate this5/4÷(5/4)^3
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Answer 1

Answer:

$\frac{5}{4}\div \left(\frac{5}{4}\right)^{3}=\frac{16}{25}$

Step-by-step explanation:

$\frac{5}{4}\div \left(\frac{5}{4}\right)^{3}$

$= \frac{\frac{5}{4}}{\left(\frac{5}{4}\right)^{3}}\\=\frac{1}{\left(\frac{5}{4}\right)^{3-1}}\\=\frac{1}{\left(\frac{5}{4}\right)^{2}}\\=\frac{4^{2}}{5^{2}}\\=\frac{16}{25}$

Therefore,

$\frac{5}{4}\div \left(\frac{5}{4}\right)^{3}=\frac{16}{25}$

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