Answer:
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We are given that, 980 = 2x × 5y × 7z
We need to find the values of x, y, and z.
Find the prime factorization of 980.
980 can be written as:
Compare the given expression with the prime factorization of 980.
- 2 × 2 × 5 × 7 × 7 = 2x × 5y × 7z
It can be observed that:
- 2x = 2 × 2 ⇒ x = 2
- 5y = 5 ⇒ y = 1
- 7z = 7 × 7 ⇒ z = 7
Hence, the values of x, y, and z are 2, 1, and 7 respectively.