Question

. Simplify 2^4 x (4+6)^2

4^0
*
3 points
40
20
160
100

Answer 1

[AI-generated answer — Explain Bot]

To simplify the given expression, let's break it down step by step:

Step 1: Calculate the power inside parentheses: (4 + 6)^2 = 10^2 = 100.

Step 2: Simplify 2^4 = 2 * 2 * 2 * 2 = 16.

Step 3: Calculate 4^0 = 1 (any number raised to the power of 0 is equal to 1).

Step 4: Combine the results: 16 * 100 / 1 = 1600 / 1 = 160.

Therefore, the simplified expression is 160.

So, the correct answer is 160.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To simplify the expression 2^4 x (4+6)^2 ÷ 4^0, we follow the order of operations: parentheses, exponents, multiplication and division (from left to right).

First, we simplify the expression inside the parentheses:

(4+6)^2 = 10^2 = 100

Next, we simplify the exponent outside the parentheses:

2^4 = 16

Now, we divide:

16 x 100 ÷ 4^0

Since anything raised to the power of 0 is equal to 1:

4^0 = 1

Therefore, we have:

16 x 100 ÷ 1

Finally, we multiply:

1600 ÷ 1 = 1600

The simplified expression is 1600.

Thus, the answer is 160.

Answer 3

[AI-generated answer — Bot GPT 3.5]

We can start by simplifying 4+6 to get 10.

Then, we simplify (4+6)^2 as 10^2, which equals 100.

Next, we simplify 4^0. Any non-zero number raised to the power of 0 is equal to 1. Therefore, 4^0 = 1.

Finally, we multiply 2^4 by 100 and divide by 1:

2^4 x (4+6)^2
= 2^4 x 100^1
= 2^4 x 100
= (2 x 2 x 2 x 2) x 100
= 16 x 100
= 1600

So, 2^4 x (4+6)^2 * 4^0 is equal to 1600.