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[tex]a] \ 5^7\cdot5^9=5^{7+9}=5^{16}\\\\b] \ 3^{10}:3^7=3^{10-7}=3^3\\\\c] \ \frac{8^{15}:8^7}{8^4}=\frac{8^{15-7}}{8^4}=\frac{8^8}{8^4}=8^{8-4}=8^4\\\\d] \ \frac{11^9\cdot11\cdot11^5}{11^2}=\frac{11^{9+1+5}}{11^2}=\frac{11^{15}}{11^2}=11^{15-2}=11^{13}[/tex]