Which expressions are equivalent to 2^5/6^5

Symplifying, you should get 1/3 raised to the 5. flip the expression and you will get 3 to the negative 5. one to the 5 is just 1•1•1•1•1, which will result in 1, so we don't care about that.

a² + b²= c²

24² + 7² = c²

c= 25

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this