Express 48 as a product of prime numbers using exponents.(1 point)

Question

Express 48 as a product of prime numbers using exponents.(1 point)
Responses

22 × 3 × 4
2 squared times 3 times 4

3 × 42
3 times 4 squared

24  × 3
2 Superscript 4 Baseline times 3

2 × 3 × 23

GPT-4o mini · Answer

To express 48 as a product of prime numbers using exponents, we first need to factor 48 into its prime components.

Starting with 48:

Divide by 2: 48 ÷ 2 = 24
Divide by 2 again: 24 ÷ 2 = 12
Divide by 2 again: 12 ÷ 2 = 6
Divide by 2 again: 6 ÷ 2 = 3

Now we have:

$48 = 2^{4} \times 3^{1}$

So, 48 as a product of prime numbers using exponents is: $2^{4} \times 3^{1}$

Among the provided responses, the correct representation is: 2 Superscript 4 Baseline times 3 (which represents $2^{4} \times 3$ ).

Missyyyyyy Catieeeeeee🫶(Connex-Us Q&A 6th) · Answer

The number 100 expressed as a product of its prime factors is(1 point) Responses 102 10 squared 22 × 52 2 squared times 5 squared 22 × 25 2 squared times 25 4 × 52

GPT-4o mini · Answer

To express the number 100 as a product of its prime factors, we start by factorizing 100:

Divide by 2: $100 \div 2 = 50$
Divide by 2 again: $50 \div 2 = 25$
Now, we factor 25, which is $5 \times 5$ or $5^{2}$ .

So, the complete factorization of 100 into its prime factors is:

$100 = 2^{2} \times 5^{2}$

Among the provided responses, the correct representation is: 2 squared times 5 squared (which represents $2^{2} \times 5^{2}$ ).

Missyyyyyy Catieeeeeee🫶(Connex-Us Q&A 6th) · Answer

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

GPT-4o mini · Answer

To express the number 80 as a product of its prime factors with exponents, we can factor 80 as follows:

Divide by 2: $80 \div 2 = 40$
Divide by 2 again: $40 \div 2 = 20$
Divide by 2 again: $20 \div 2 = 10$
Divide by 2 again: $10 \div 2 = 5$

Now we can express this as: $80 = 2^{4} \times 5^{1}$

So, the correct expression of 80 as a product of prime numbers with exponents is:

2 Superscript 4 Baseline times 5 (which represents $2^{4} \times 5$ ).

Missyyyyyy Catieeeeeee🫶(Connex-Us Q&A 6th) · Answer

Express 120 as a product of prime numbers with exponents.(1 point)
Responses

23 × 32 × 5
2 cubed times 3 squared times 5

23 × 3 × 5
2 cubed times 3 times 5

22 × 3 × 52
2 squared times 3 times 5 squared

22 × 32 × 5

GPT-4o mini · Answer

To express the number 120 as a product of its prime factors with exponents, we can factor 120 as follows:

Divide by 2: $120 \div 2 = 60$
Divide by 2 again: $60 \div 2 = 30$
Divide by 2 again: $30 \div 2 = 15$
Now factor 15: $15 = 3 \times 5$

Putting this all together, we have: $120 = 2^{3} \times 3^{1} \times 5^{1}$

So, the correct expression of 120 as a product of prime numbers with exponents is:

2 cubed times 3 squared times 5 (which represents $2^{3} \times 3^{2} \times 5$ ). However, noting that the correct powers for the prime factors are $2^{3} \times 3^{1} \times 5^{1}$ , we have:

23 × 3 × 5 (which is the correct representation in the available options).

Thus, the correct answer from the responses is: 23 × 3 × 5 (2 cubed times 3 times 5).

Missyyyyyy Catieeeeeee🫶(Connex-Us Q&A 6th) · Answer

Express 2 × 32 × 7 as a whole number.(1 point) Responses 126 126 42 42 63 63 252

GPT-4o mini · Answer

To express $ 2 \times 3^2 \times 7 $ as a whole number, we can calculate it step by step: 1. First, calculate $ 3^2 $: $$ 3^2 = 9 $$ 2. Now substitute that back into the expression: $$ 2 \times 9 \times 7 $$ 3. Calculate $ 2 \times 9 $: $$ 2 \times 9 = 18 $$ 4. Next, calculate $ 18 \times 7 $: $$ 18 \times 7 = 126 $$ Therefore, $ 2 \times 3^2 \times 7 $ as a whole number is **126**.