Question

[(5 supra 7)⁸]¹⁰: (5 supra 7) ⁷⁸=​

Answer 1

Răspuns:

$\displaystyle{ [(\frac{5}{7})^{8}]^{10} : (\frac{5}{7})^{78} = }$

$\displaystyle{ = (\frac{5}{7})^{8 \cdot 10} : (\frac{5}{7})^{78} }$

$\displaystyle{ = (\frac{5}{7})^{80} : (\frac{5}{7})^{78} }$

$\displaystyle{ = (\frac{5}{7})^{80-78} }$

$\displaystyle{ = (\frac{5}{7})^{2} }$

$\displaystyle{ = \frac{5^{2} }{ 7^{2} } }$

$\displaystyle{ = \frac{25}{49} }$