write the prime factorization of 49. use exponents when appropriate and order the factors from least to…

write the prime factorization of 49. use exponents when appropriate and order the factors from least to greatest (for example, $2^2 \\cdot 3 \\cdot 5$).

write the prime factorization of 49. use exponents when appropriate and order the factors from least to greatest (for example, $2^2 \\cdot 3 \\cdot 5$).

Answer

Explanation:

Step1: Identify prime factors of 49

We start by finding the prime numbers that multiply to give 49. We know that 7 is a prime number, and (7\times7 = 49).

Step2: Write in exponential form

Since 7 is multiplied by itself twice, we can write this using an exponent. The prime factorization of 49 is (7^{2}) (and since there's only one distinct prime factor, we just have (7^{2}) with the factor ordered from least to greatest, which is just 7 here).

Answer:

(7^{2})