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].
