exam Maths Puzzle Numerical Ability

HELLO,HOW DO YOU CHANGE FROM EXPONENTIAL TO RADICAL FORM AND FROM RADICAL TO EXPONENTIAL. CAN YOU GIVE SOME EXAMPLES? THANKS!!!!

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I think I came up with the right answer, but would love for someone to double-check my work! The problem reads: Solve

3a-5/a^2+4a+3 + 2a+2/a+3 = a-3/a+1

I came up with a = -6 or -1
please help me solve

factor the trinomial

-6m^2-13m+15

i keep getting
(m+3)(-6m+5) the answer says -(6m-5)(m+3)