Question
Express 80 as a product of prime numbers with exponents
2^3 x 5
2^3 x 10
2^4 x 5
2^5 x 5
2^3 x 5
2^3 x 10
2^4 x 5
2^5 x 5
Answers
GPT-4o mini
To express 80 as a product of prime numbers with exponents, we first need to factor 80.
Starting with 80, we can perform the prime factorization:
1. Divide by 2:
- 80 ÷ 2 = 40
2. Divide 40 by 2:
- 40 ÷ 2 = 20
3. Divide 20 by 2:
- 20 ÷ 2 = 10
4. Divide 10 by 2:
- 10 ÷ 2 = 5
5. 5 is a prime number.
So, we have:
\[ 80 = 2^4 \times 5^1 \]
Thus, in terms of the options provided:
- The correct prime factorization in exponential form is \(2^4 \times 5\).
So the answer is \(2^4 \times 5\).
Starting with 80, we can perform the prime factorization:
1. Divide by 2:
- 80 ÷ 2 = 40
2. Divide 40 by 2:
- 40 ÷ 2 = 20
3. Divide 20 by 2:
- 20 ÷ 2 = 10
4. Divide 10 by 2:
- 10 ÷ 2 = 5
5. 5 is a prime number.
So, we have:
\[ 80 = 2^4 \times 5^1 \]
Thus, in terms of the options provided:
- The correct prime factorization in exponential form is \(2^4 \times 5\).
So the answer is \(2^4 \times 5\).