Which number is equivalent to 3^(4)÷3^(2)This problem comes straight from a standardized test given in New York in 2014.

Question

Which number is equivalent to 3^(4)÷3^(2)This problem comes straight from a standardized test given in New York in 2014.

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Solution

Para resolver la expresión $3^4 \div 3^2$ , podemos utilizar las propiedades de los exponentes. En particular, la propiedad que dice que cuando dividimos potencias con la misma base, restamos los exponentes:

$\frac{3^4}{3^2} = 3^{4-2} = 3^2$

Ahora, calculamos $3^2$ :

$3^2 = 3 \times 3 = 9$

Por lo tanto, el número equivalente a $3^4 \div 3^2$ es 9.

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