Express 80 as a product of prime numbers with exponents.(1 point)
Responses
23 × 5
2 Superscript 3 Baseline times 5
25 × 5
2 Superscript 5 Baseline times 5
24 × 5
2 Superscript 4 Baseline times 5
23 × 10
80 can be expressed as a product of prime numbers with exponents as 2^4 times 5.
To express 80 as a product of prime numbers with exponents, we need to decompose 80 into its prime factors.
Step 1: Start by dividing 80 by the smallest prime number, which is 2.
80 ÷ 2 = 40
Step 2: Repeat the process by dividing 40 by 2 again.
40 ÷ 2 = 20
Step 3: Continue dividing by 2 until we can no longer do so.
20 ÷ 2 = 10
10 ÷ 2 = 5
Step 4: We have now reached a prime number, 5. We cannot divide 5 any further.
Therefore, the prime factorization of 80 is:
2 × 2 × 2 × 2 × 5
This can be written as:
2^4 × 5
To express 80 as a product of prime numbers with exponents, we need to find the prime factorization of 80.
The prime factorization of 80 is:
2^4 × 5^1
Therefore, 80 can be expressed as the product of prime numbers with exponents as:
2^4 × 5^1