Which expression is equivalent to 4-2/2^-3 a.-16 b.-8 c.8 d.16

First, solve the top and bottom independently:

Top portion - 4-2 = 2

Bottom portion - A number to the negative power (2^-3) is equal to one over the positive power (1/2^3) which also equals 1/8

Combine both portions now: 2/(1/8)

To remove the fraction at the bottom portion, you can multiple both the top portion and bottom portions by 8 which resolves the bottom portion to be 1/8 * 8 = 1 AND the top portion to be 2 * 8 = 16.

Write the resulting equation with both top and bottom portions again and solve: 16/1 = 16

Step-by-step explanation:

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