Question

(3 1/4)^9*(4/13)^11​

Answer 1

Ответ:

$(\frac{4}{13} )^{2}$=$\frac{16}{169}$

Пошаговое объяснение:

$(3\frac{1}{4} )^{9} *(\frac{4}{13} )^{11} =(\frac{13}{4} )^{9} *(\frac{4}{13} )^{11} =\\\\(\frac{4}{13} )^{-9}*(\frac{4}{13} )^{11}=(\frac{4}{13} )^{11-9}=(\frac{4}{13} )^{2}$

Answer 2

To simplify the expression $(3 \frac{1}{4})^9 \times \left(\frac{4}{13}\right)^{11}$, we can perform the calculations step by step.

First, let's simplify the mixed fraction $3 \frac{1}{4}$: $3 \frac{1}{4} = 3 + \frac{1}{4} = \frac{12}{4} + \frac{1}{4} = \frac{13}{4}$

Now the expression becomes: $\left(\frac{13}{4}\right)^9 \times \left(\frac{4}{13}\right)^{11}$

Now, let's simplify each term raised to a power: $\left(\frac{13}{4}\right)^9 = \frac{13^9}{4^9}$ $\left(\frac{4}{13}\right)^{11} = \frac{4^{11}}{13^{11}}$

Combining the terms back together: $\frac{13^9}{4^9} \times \frac{4^{11}}{13^{11}}$

Now, let's cancel out common factors: $\frac{13^9 \cdot 4^{11}}{4^9 \cdot 13^{11}}$

Since $4^9$ and $13^9$ are not common factors, we can't simplify this expression any further. So, the final simplified expression is: $\frac{13^9 \cdot 4^{11}}{4^9 \cdot 13^{11}}$

Please note that this expression cannot be simplified into a neat numerical value without further calculations. You might use a calculator or a computer program to compute the actual value if needed.