Here is a couple:
1) 4^2 * 4^2 = 4 ^(2+2) = 4^4 = 256 You try #3
4) is 21 * 22 *22 and solved similarly #2 is also similar 41 * 42
5) 2n^4 * 5 n^4 = 10 n^6 You try #6
1: is 4 to the power of 4.
2: is also 4 to the power of 4
3: is 3 to the power of 4
why? because when multiplying th same numbers and exponents, add the exponents:
2 to the power of 2 + 2 to the power of to = 2 to the power of four. and 2 to the power of four = 8