Question

Miguel did the following math problem: 65 ∙ 64 = 369. Which of the following is a true statement? 1.He is correct. 2.He is incorrect because he should have subtracted the exponents. 3.He is incorrect because he should have multiplied the exponents. 4.He is incorrect because he multiplied the bases.

Answer 1

Answer:

He is incorrect.

Step-by-step explanation:

The correct answer is 4,160.

Answer 2

Answer:

3. He is incorrect because he should have multiplied the exponents.

Step-by-step explanation:

6∧5 × 6∧4 = 369 Incorrect

Correct: 6∧5 = 7776

6∧4 = 1296

7776 × 1296 = 10,077,696

1. He is not correct, therefore the first answer is wrong.

2. You do not subtract the exponents unless one of the exponents is negative and you have the same bases. You have the same bases in this equation, however, neither one of them are negative. Therefore, the second answer is wrong.

3. The third answer is correct because if you were adding the two terms together then you would add the exponents together then multiply the base as many times as needed. However, since you are multiplying the two terms together, you also need to multiply the exponents together. From there, you then multiply the terms and get your answer.

4. The fourth answer is also incorrect because you need to multiply the bases together in order to get a correct answer.

I hope this helps!