Mathematics
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what is the simplified expression for 3 to the power of negative 4 multiplied by 2 to the power of 3 multiplied by 3 to the power of 2 whole over 2 to the power of 4 multiplied by 3 to the power of negative 3? 3 over 2 3 to the power of 2 over 2 to the power of 2 3 to the power of 2 over 2 2 to the power of 4 over 3

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andrades

[latex]\frac{3^{-4} \times 2^3 \times 3^2}{2^4 \times 3^{-3}} = \frac{3^{-4+2} \times 2^3}{2^4 \times 3^{-3}} = \frac{3^{-2} \times 2^3}{2^4 \times 3^{-3}} = 3^{-2-(-3)} \times 2^{3-4} = 3^{-2+3} \times 2^{-1} = \frac{3}{2}[/latex]

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