7^8 times 7^-6=7? 7 times 7^-4=7? 7^-9 times 7^-7=7? 7^5 times 7^-7=7?

Vamos resolver cada uma das expressões:<br /><br />1. \( 7^{8} \times 7^{-6} = 7^{8 + (-6)} = 7^{2} = 49 \)<br /><br />2. \( 7 \times 7^{-4} = 7^{1} \times 7^{-4} = 7^{1 + (-4)} = 7^{-3} = \frac{1}{7^3} = \frac{1}{343} \)<br /><br />3. \( 7^{-9} \times 7^{-7} = 7^{-9 + (-7)} = 7^{-16} = \frac{1}{7^{16}} \)<br /><br />4. \( 7^{5} \times 7^{-7} = 7^{5 + (-7)} = 7^{-2} = \frac{1}{7^2} = \frac{1}{49} \)<br /><br />Portanto, as respostas são:<br /><br />1. \( 7^{8} \times 7^{-6} = 49 \)<br />2. \( 7 \times 7^{-4} = \frac{1}{343} \)<br />3. \( 7^{-9} \times 7^{-7} = \frac{1}{7^{16}} \)<br />4. \( 7^{5} \times 7^{-7} = \frac{1}{49} \)