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Greatest Binomial Coefficients

If 10 2y = 2...

Question

If 10 $^{2 y}$ = 25, then 10 $^{- y}$ equals:

A

-

\frac{1}{5}

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B

\frac{1}{625}

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C

\frac{1}{50}

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D

\frac{1}{25}

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E

\frac{1}{5}

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Solution

The correct option is E $\frac{1}{5}$
$10^{2 y} = 25 ⟹ 10^{y} = 5 ∴ 10^{- y} = \frac{1}{5}$

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t_{5}, t_{10}

t_{25}

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∣ ∣ ∣ ∣ \begin{matrix} t_{5} & t_{10} & t_{25} 5 & 10 & 25 1 & 1 & 1 \end{matrix} ∣ ∣ ∣ ∣

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