Express 80 as a product of prime numbers with exponents.(1 point)

Question

Responses

25 × 5
2 Superscript 5 Baseline times 5

23 × 5
2 Superscript 3 Baseline times 5

24 × 5
2 Superscript 4 Baseline times 5

23 × 10

Answer 1

To express 80 as a product of prime numbers with exponents, we can start by factoring it:

1. Divide 80 by 2 (the smallest prime number):
   • \(80 \div 2 = 40\)
2. Divide 40 by 2:
   • \(40 \div 2 = 20\)
3. Divide 20 by 2:
   • \(20 \div 2 = 10\)
4. Divide 10 by 2:
   • \(10 \div 2 = 5\)
5. 5 is a prime number.

So, the factorization of 80 is: \[ 80 = 2 \times 2 \times 2 \times 2 \times 5 = 2^4 \times 5 \]

Thus, the correct expression for 80 as a product of prime numbers with exponents is: \(2^4 \times 5\).

This corresponds to the response: \(2^{4} \times 5\).