Express 80 as a product of prime numbers with exponents.(1 point) Responses 23 × 10 2 Superscript 3 Baseline times 10 25 × 5 2 Superscript 5 Baseline times 5 23 × 5 2 Superscript 3 Baseline times 5 24 × 5

3 answers

To express 80 as a product of prime numbers with exponents, we first need to perform the prime factorization of 80.

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

Collecting all the factors, we have:

  • \(80 = 2 \times 2 \times 2 \times 2 \times 5\)

In exponent form, this is represented as:

  • \(80 = 2^4 \times 5^1\)

Thus, the prime factorization of 80 with exponents is:

\[ 80 = 2^4 \times 5^1 \]

Which sentences contain direct quotes? Select the two correct answers.(1 point) Responses "The bread was so burned, it looked exactly like a hockey puck," Karen said. "The bread was so burned, it looked exactly like a hockey puck," Karen said. When it snows in Spain, it only snows in the mountains (Dolittle). When it snows in Spain, it only snows in the mountains (Dolittle). "When I was your age," Grandpa said, "books were our Internet." "When I was your age," Grandpa said, "books were our Internet." Some of the most famous artists of the era were Rossetti and Beardsley (Childs). Some of the most famous artists of the era were Rossetti and Beardsley (Childs). Some bird species have flown south each year for hundreds of years (Birdman). Some bird species have flown south each year for hundreds of years (Birdman).

The sentences that contain direct quotes are:

  1. "The bread was so burned, it looked exactly like a hockey puck," Karen said.
  2. "When I was your age," Grandpa said, "books were our Internet."

Both of these sentences include direct quotations attributed to a speaker.