Question

X= 140×15²
write X as a product of powers of its prime factors​

Answer 1

X = 2² * 3² * 5³ * 7.

Explanation:

140 = 2*2*5*7

15^2 = 3*5*3*5

So X = 2² * 3² * 5³ * 7

Answer 2

To find the prime factorization of X, we first need to simplify the expression.

• 140 × 15² = 140 × 225

Now, we can factor 140 and 225 into their prime factors:

• 140 = 2² × 5 × 7
• 225 = 3² × 5²

So,

• X = 140 × 225
• = (2² × 5 × 7) × (3² × 5²)

We can now use the distributive property to multiply these factors together:

• X = 2² × 3² × 5³ × 7

Therefore, the prime factorization of X is:

• Therefore, the prime factorization of X is:X = 2² × 3² × 5³ × 7