abellibuzacharia
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3. By what number should [tex]\( 6^2 \)[/tex] be multiplied to get [tex]\( \frac{4^4}{9} \)[/tex]?

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GinnyAnswer
To find the number by which [tex]\( 6^2 \)[/tex] should be multiplied to get [tex]\( \frac{4^4}{9} \)[/tex], we can follow these steps:

1. Compute the initial value:
[tex]\[ 6^2 = 36 \][/tex]

2. Compute the target value:
[tex]\[ 4^4 = 256 \][/tex]
[tex]\[ \frac{4^4}{9} = \frac{256}{9} \approx 28.4444\ldots \][/tex]

3. Determine the required multiplier:
To find the multiplier, we need to divide the target value by the initial value:
[tex]\[ \text{multiplier} = \frac{\frac{4^4}{9}}{6^2} = \frac{28.4444}{36} \][/tex]
The result is approximately:
[tex]\[ \text{multiplier} \approx 0.7901 \][/tex]

Therefore, the number by which [tex]\( 6^2 \)[/tex] should be multiplied to get [tex]\( \frac{4^4}{9} \)[/tex] is approximately [tex]\( 0.7901 \)[/tex].
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