[tex]\frac{4^5 + 4^5 + 4^5 + 4^5}{3^{-13} + 3^{-13} + 3^{-13}} = \frac{4 \cdot 4^5}{3 \cdot 3^{-13}} = \frac{4^{1+5}}{3^{1-13}} = \frac{4^6}{3^{-12}} = \frac{\left( 2^2 \right) ^6}{3^{-12}} = \frac{2^{2 \cdot 6}}{3^{-12}} = \frac{2^{12}}{\left( \frac{1}{3} \right) ^{12} } = \left( \frac{2}{\frac{1}{3} } \right) ^{12} = \left( 2 \cdot 3 \right) ^{12} = 6^{12}[/tex]
Tak, równość jest prawdziwa.
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[tex]\frac{4^5 + 4^5 + 4^5 + 4^5}{3^{-13} + 3^{-13} + 3^{-13}} = \frac{4 \cdot 4^5}{3 \cdot 3^{-13}} = \frac{4^{1+5}}{3^{1-13}} = \frac{4^6}{3^{-12}} = \frac{\left( 2^2 \right) ^6}{3^{-12}} = \frac{2^{2 \cdot 6}}{3^{-12}} = \frac{2^{12}}{\left( \frac{1}{3} \right) ^{12} } = \left( \frac{2}{\frac{1}{3} } \right) ^{12} = \left( 2 \cdot 3 \right) ^{12} = 6^{12}[/tex]
Tak, równość jest prawdziwa.