Question

(p) 4. Aratati ca 5³⁰-5²⁹ este supraunitara
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2⁶⁰​

Answer 1

$\it \dfrac{5^{30}-5^{29}}{2^{60}}=\dfrac{5^{29}(5-1)}{2^{58}\cdot2^{2}}=\dfrac{5^{29}\cdot4}{2^{58}\cdot4}=\dfrac{5^{29}}{2^{58}}=\dfrac{5^{29}}{(2^2)^{29}}=\dfrac{5^{29}}{4^{29}}>1$