Question

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.

Answer 1

Below in bold.

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.