express 80 as a product of prime numbers using exponents

Answer 1

To express 80 as a product of prime numbers using exponents, we need to find the prime factorization of 80.

Start by dividing 80 by the smallest prime number, which is 2:
80 ÷ 2 = 40

40 is still divisible by 2:
40 ÷ 2 = 20

20 is again divisible by 2:
20 ÷ 2 = 10

10 can be divided by 2 one more time:
10 ÷ 2 = 5

Now we have reached a prime number, since there are no divisors other than 1 and itself. Therefore, the prime factorization of 80 is:
2 × 2 × 2 × 2 × 5

In exponent form, this can be written as:
2^4 × 5