I need help to understand Prime Factorization and Exponents

2 × 2 × 13 × 13 × 17 = 2x × 13y × 17z where x=____ , y=____ , z=____

Respuesta :

Answer:

x = 2, y = 13, z = 1

Step-by-step explanation:

2 * 2 * 13 * 13 * 17 is equal to 2x * 13y * 17z.

knowing that 2x = 2 * x

therefore

2 * 2 * 13 * 13 * 17 * 1

2 * x * 13 * y * 17 * z

meaning that

x = 2, y = 13, z = 1