[tex]8.) \: {m}^{20} = 1 \\ \: \: \: \: \: \: m = - 1 \\ \: \: m = 1[/tex]
Bear in mind that our exponent is even. That means 1² = 1⁴ = and so on, the answer will be one. Same goes with (-1)² = (-1)⁴ = and so on and so forth. Hence, the answer to this item is ± 1.
[tex]9.) \: 25^{m} = 1 \\ m = 0[/tex]
Note that any number raised to zero will always be one.
[tex]10.) \: 100(3^{m} ) = 100 \\ m = 0 [/tex]
Same also with this item. 3 raised to zero is 1. Hence, when we multiply 100 to 1, the result is the number itself which is 100.
