a) \(27^7\div9^{10}\)
\(=\left(3^3\right)^7\div\left(3^2\right)^{10}\)
\(=3^{3\times7}\div3^{2\times10}\)
\(=3^{21}\div3^{20}\)
\(=3^1\)
\(=3\)
b) \(125^6\div25^7\)
\(=\left(5^3\right)^6\div\left(5^2\right)^7\)
\(=5^{3\times6}\div5^{2\times7}\)
\(=5^{18}\div5^{14}\)
\(=5^4\)
\(=625\)
c) \(5^{15}\div5^3\)
\(=5^{12}\)
\(=244140625\)
d) \(11^7\div11^3\)
\(=11^4\)
\(=14641\)
e) \(125\div5^2\)
\(=5^2\div5^2\)
\(=5^1\)
\(=5\)
g) \(169\div13^2\)
\(=13^2\div13^2\)
\(=13^1\)
\(=13\)
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