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Mathematics

Evaluate:

57÷510×555^{-7} ÷ 5^{-10} \times 5^{-5}

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Answer

57÷510×55=5(7)(10)+(5)=57+105=535=52=152=1255^{-7} ÷ 5^{-10} \times 5^{-5}\\[1em] = 5^{(-7) - (-10) + (-5)}\\[1em] = 5^{-7 + 10 - 5}\\[1em] = 5^{3 - 5}\\[1em] = 5^{-2}\\[1em] = \dfrac{1}{5}^2\\[1em] = \dfrac{1}{25}

57÷510×55=1255^{-7} ÷ 5^{-10} \times 5^{-5} = \dfrac{1}{25}

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