exponents in equations
- Thread starter Luanne
- Start date
pka
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- Jan 29, 2005
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\(\displaystyle \L\begin{array}{l}
\left( {2^x } \right)\left( 4 \right)^{2y} = \left( {2^x } \right)\left( {2^2 } \right)^{2y} = \left( {2^x } \right)\left( {2^{4y} } \right) = 2^{x + 4y} \\
\left( 4 \right)^{2x} \left( {2^y } \right) = \left( {2^2 } \right)^{2x} \left( {2^y } \right) = \left( {2^{4x} } \right)\left( {2^y } \right) = 2^{4x + y} \\
\end{array}\)
\left( {2^x } \right)\left( 4 \right)^{2y} = \left( {2^x } \right)\left( {2^2 } \right)^{2y} = \left( {2^x } \right)\left( {2^{4y} } \right) = 2^{x + 4y} \\
\left( 4 \right)^{2x} \left( {2^y } \right) = \left( {2^2 } \right)^{2x} \left( {2^y } \right) = \left( {2^{4x} } \right)\left( {2^y } \right) = 2^{4x + y} \\
\end{array}\)