Select all of the expressions that are equivalent to (363−4)2

Question

Responses

320
3 to the 20th power

12
12

60
60

34
3 to the 4th power

32×32
3 squared times 3 squared

310×310

Answer 1

To determine which expressions are equivalent to \((363−4)^2\), we first simplify the original expression:

1. Calculate \(363 - 4\): \[ 363 - 4 = 359 \]

2. Now, evaluate \((359)^2\).

Now, let's evaluate and compare the given expressions:

1. 320: Not equivalent.

2. \(3^{20}\): Not equivalent.

3. 12: Not equivalent.

4. 60: Not equivalent.

5. \(34\): Not equivalent.

6. \(3^4\): Not equivalent.

7. \(32 \times 32\): This is equivalent to \(32^2\) and not equivalent to \(359^2\).

8. \(3^{10} \times 3^{10}\): This simplifies to \( (3^{10})^2 = 3^{20}\), which is not equivalent.

After evaluating all the options, none of the listed expressions are equivalent to \((363−4)^2\).

Thus, the answer is: none of the above.