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MathMate to Mercy

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You can also do it by trial and error. raise 3 to the power of 2. If it is smaller than the targe number, then raise it to 4. If it is smaller, then to 8. If it is still smaller, then to 16. If it is bigger, raise it to (8+16)/2=12. and so on.
Considering the corrections that you subsequently posted, 1,2,3,6,7 are correct, well-done! For #4,#8 we use the law of exponent that a negative exponent is equal to it's reciprocal, for example: 5/y^(-3) = 5*y³ For #5, we use the rule: (xy)^a = x^a y^a
Merci!

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