luigihs said:
luigihs said:
luigihs said:
Evaluating in terms of powers of primes means expressing a given number or expression as a product of prime numbers raised to various powers.
Evaluating in terms of powers of primes is important because it allows us to simplify and understand complex numbers or expressions. It also helps us in finding the prime factors of a number, which is useful in many mathematical applications.
To evaluate in terms of powers of primes, you need to first factorize the given number or expression into its prime factors. Then, rewrite each prime factor as a number raised to a power, and multiply them together to get the final result.
No, evaluating in terms of powers of primes is not the same as finding the prime factorization. Evaluating involves expressing the given number or expression as a product of prime numbers raised to various powers, while prime factorization involves finding all the prime factors of a number.
The fundamental theorem of arithmetic states that every positive integer can be expressed as a unique product of prime numbers. Evaluating in terms of powers of primes is essentially breaking down a number or expression into its prime factors, which aligns with the fundamental theorem of arithmetic.