Find the smallest number by which 5632 must be divided to obtain a perfect cube. also find the cube root of the number obtained

The smallest number is 11.

The cube is 512 and cube root = 8.

Step-by-step explanation

If we keep dividing 5632 by 2 we get 5632 = 2^9 * 11.

2^9  is a perfect cube (  = (2^3)^3 = 8^3).

The number is 512 and the cube root is 8.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b