(-3)^4 + (-8) will follow the order of operations. (-3)^4 comes first (exponents before adding). Also, (-3)^4 = (-3)(-3)(-3)(-3) = 81. (Because 4 negatives multiply to a positive and 3x3x3x3=81.)
So, that gives you 81 + (-8). This is 73. The opposite signs say to subtract, and you keep the sign of the bigger number (81 was positive).
(-3)^4 + (-8) will follow the order of operations. (-3)^4 comes first (exponents before adding). Also, (-3)^4 = (-3)(-3)(-3)(-3) = 81. (Because 4 negatives multiply to a positive and 3x3x3x3=81.)
So, that gives you 81 + (-8). This is 73. The opposite signs say to subtract, and you keep the sign of the bigger number (81 was positive).