\(b,\text{ }n^{35}\text{ : }n^{32}=64\)
\(n^3=64\)
\(n^3=4^3\)
\(\Rightarrow\text{ }n=4\)
\(c,\text{ }49\cdot7^{2n+3}=2401\cdot343\)
\(7^2\cdot7^{2n+3}=7^4\cdot7^3\)
\(7^{2n+3+2}=7^7\)
\(7^{2n+5}=7^7\)
\(\Rightarrow\text{ }2n+5=7\)
\(2n=7-5\)
\(2n=2\)
\(n=2\text{ : }2\)
\(n=1\)
\(b,\text{ }n^{35}\text{ : }n^{32}=64\)
\(n^3=64\)
\(n^3=4^3\)
\(\Rightarrow\text{ }n=4\)
\(c,\text{ }49\cdot7^{2n+3}=2401\cdot343\)
\(7^2\cdot7^{2n+3}=7^4\cdot7^3\)
\(7^{2n+3+2}=7^7\)
\(7^{2n+5}=7^7\)
\(\Rightarrow\text{ }2n+5=7\)
\(2n=7-5\)
\(2n=2\)
\(n=2\text{ : }2\)
\(n=1\)