\(d.4.4.4.4.4.16=2^2.2^2.2^2.2^2.2^2.2^4=2^{14}\)
\(e.5.5.5.5.3.3.3.15=5^4.3^3.3.5=5^5.3^4\)
\(e.6.6.6.7.7.7.42=6^3.7^3.2.3.6=2^3.3^3.7^4.2.3=2^4.3^4.7^4\)
4.4.4.4.4.16=4.4.4.4.4.4.4=47
5.5.5.5.3.3.3.15=15.15.15.5.15=154.5
6.6.6.7.7.7.42=42.42.42.42=424
\(d)4.4.4.4.4.16\\ =4.4.4.4.4.4.4\\ =4^7\)
\(e)5.5.5.5.3.3.3.15\\ =5.5.5.5.3.3.3.5.3\\ =5^5.3^4\)
\(e)6.6.6.7.7.7.42\\ =6.6.6.7.7.7.6.7\\ =6^4.7^4\)
d) \(4\cdot4\cdot4\cdot4\cdot4\cdot16\)
\(=4\cdot4\cdot4\cdot4\cdot4\cdot4^2\)
\(=4^7\)
\(=\left(2^2\right)^7\)
\(=2^{14}\)
e) \(5\cdot5\cdot5\cdot5\cdot3\cdot3\cdot3\cdot15\)
\(=5\cdot5\cdot5\cdot5\cdot3\cdot3\cdot3\cdot5\cdot3\)
\(=5^5\cdot3^4\)
f) \(6\cdot6\cdot6\cdot7\cdot7\cdot7\cdot42\)
\(=6\cdot6\cdot6\cdot7\cdot7\cdot7\cdot6\cdot7\)
\(=6^4\cdot7^4\)
\(=\left(6\cdot7\right)^4\)
\(=42^4\)