Expressed as a product of its prime factors in index form, a number N is: N = 2 × 5^3 × x^4

Express 5N^2 as a product of prime factors in index form. Give your answer in terms of x.

Below in bold.

Step-by-step explanation:

N = 2 * 5^3 * x^4

N^2 = 2^2 * (5^3)^2 * (x^4)^2

= 2^2 * 5^6 * x^8.

5N^2 = 2^2 * 5^7 * x^8.

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)

23

step-by-step explanation: