Problems from Operations with powers

Development:

1. ${\displaystyle \frac{7^3\cdot 3^{14}\cdot (7^2{)}^{12}}{3^5\cdot 7}=\frac{7^3\cdot 3^{14}\cdot 7^{2\cdot 12}}{3^5\cdot 7}=\frac{7^3\cdot 3^{14}\cdot 7^{24}}{3^5\cdot 7}=}$

   $=7^{3+24}\cdot 3^{14-5}=7^{26}\cdot 3^9$

2. ${\displaystyle \frac{(4^4{)}^7\cdot 5^2\cdot 4^5\cdot 5^{24}}{5^{11}}=\frac{4^{4\cdot 7}{5}^2\cdot 4^5\cdot 5^{24}}{5^{11}}=\frac{5^{2+24}\cdot 4^{28+5}}{5^{11}}=}$

   $=5^{26-11}\cdot 4^{33}=5^{15}\cdot 4^{33}$

Solution:

1. $7^{26}\cdot 3^9$
2. $5^{15}\cdot 4^{33}$

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