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Mathematics

If $x = 3^m$ and $y = 3^{m + 2}, \dfrac{x}{y}$ is:
9
$\dfrac{1}{9}$
6
9

Exponents

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Answer

$x = 3^m$ and $y = 3^{m + 2}$ . Hence,

$\dfrac{x}{y} = \dfrac{3^m}{3^{m + 2}}\\[1em] = \dfrac{3^m}{3^m \times 3^2}\\[1em] = \dfrac{1}{3^2}\\[1em] = \dfrac{1}{9}$

Hence, option 2 is the correct option.

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