How to find a ratio of exponents

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PSAT Math › How to find a ratio of exponents

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If and are positive integers and , then what is the value of $\frac{m}{n}$ ?

$\frac{1}{16}$

$\frac{1}{3}$

CORRECT

$\frac{5}{3}$

43 = 64

Alternatively written, this is 4(4)(4) = 64 or 43 = 641.

Thus, m = 3 and n = 1.

m/n = 3/1 = 3.

Write the following logarithm in expanded form:

$\log x^{2}y$

$2\log x+\log y$

CORRECT

$2\left ( \log xy \right )$

$2\log x-\log y$

$\log x^{2}+\log y$

$\log x+\log y$

$\log x^{2}y=\log x^{2}+\log y=2\log x+\log y$