Written as a product of its prime factors, $$ 1584=2^{x} imes 3^{y} imes 11 $$ Find the values of $$ x $$ and $$ y $$.

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Written as a product of its prime factors, $$ 1584=2^{x} 	imes 3^{y} 	imes 11 $$ Find the values of $$ x $$ and $$ y $$.

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$$ x = 3 $$, $$ y = 2 $$ To find the values of $$ x $$ and $$ y $$ in the equation $$ 1584 = 2^{x} \times 3^{y} \times 11 $$, we need to express 1584 as a product of its prime factors. First, let's find the prime factorization of 1584: $$ 1584 = 2^{3} \times 3^{2} \times 11 $$ Now, we can compare this prime factorization with the given equation: $$ 1584 = 2^{x} \times 3^{y} \times 11 $$ From the prime factorization of 1584, we can see that: - The exponent of 2 in 1584 is 3, so $$ x = 3 $$. - The exponent of 3 in 1584 is 2, so $$ y = 2 $$. Therefore, the values of $$ x $$ and $$ y $$ are: $$ x = 3 $$ $$ y = 2 $$

Written as a product of its prime factors, \( 1584=2^{x} \times 3^{y} \times 11 \) Find the values of \( x \) and \( y \).

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Written as a product of its prime factors, \( 1584=2^{x} \times 3^{y} \times 11 \) Find the values of \( x \) and \( y \).

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