Question

Aplique as propriedades da potência e simplifique
a-) 7^14 x 7^15 ÷7^10
b-) 2^14 ÷ 2^2 x (2^3)^2

Answer 1

$Boa \;tarde!\\ \\ a)\\ \\ \frac{7^1^4\;x\;7^1^5}{7^1^0} =\\ \\ \frac{7^2^9}{7^1^0} =\\ \\ 7^2^9\;^-\;^1^0=\\ \\ 7^1^9\\ \\ b)\\ \\ \frac{2^1^4}{2^2\;x\;(2^3)^2} =\\ \\ \frac{2^1^4}{2^2\;x\;2^6} =\\ \\ \frac{2^1^4}{2^8} =\\ \\ 2^1^4\;^-\;^8=\\ \\ 2^6\\ \\ Bons\;estudos!$