asked 187k views
5 votes
600 can be written as 2ª ⨉ b ⨉ cᵈ where a, b and c are all prime numbers find the values of A,B, C and D

1 Answer

7 votes

Answer:

A, B, C, and D are:

A = 3

B = 3

C = 5

D = 2

therefore meaning 600 can be written as 2^3 * 3^1 * 5^2.

Explanation:

To find the values of A, B, C, and D in the equation 600 = 2^A * B * C^D, where A, B, and C are all prime numbers, we need to decompose 600 into its prime factors.

The prime factorization of 600 is as follows:

600 = 2^3 * 3 * 5^2

From this, we can see that A = 3, B = 3, C = 5, and D = 2.

answered
User Catfood
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