Question

(|7 − 3 x 5) | ÷ 4)³ + √64

Answer 1

16

Explanation:

To solve, use PEMDAS as it applies to the expression.

First, you must carry out what is in the parenthesis.

Multiply (3*5 = 15), then subtract (7 - 15 = -8). The two little vertical lines surrounding (7 - 3 x 5) mean absolute value. This means that you will write -8 as +8.

Continuing on in the parenthesis, carry out (8 ÷ 4 = 2).

Next, we must do exponents.

We see that everything in the parenthesis is being raised to the power of three (cubed). Since we've solved what was in the parenthesis, we simply need to carry out (
`2^(3)` = 8).

Now, we need to quickly carry out
`√(64)`. Square roots are just whatever number can be multiplied by itself to get, in this case, 64.

`√(64) = 8`.

Finally, we must add what remains.

8 + 8 = 16.

So, (|7 - 3 x 5) | ÷
`4)^(3)` +
`√(64)` = 16.

Answer 2

16

Explanation:

(|7 − 3 x 5| ÷ 4)³ + √64

(|7 − 3 x 5| ÷ 4)³ + √64

(|7 − 15| ÷ 4)³ + √64

(|7 − 15| ÷ 4)³ + √64

(8 ÷ 4)³ + √64

(8 ÷ 4)³ + √64

2³ + √64

8 + 8

16