Absolute value: Using powers

First, calculate $3^1$:
$3^1 = 3$.

Then, subtract 3 from 4:
$4 - 3 = 1$.

The absolute value of 1 is 1, so the expression evaluates to 1. Therefore, |4 - 3^1| = 1.

First, calculate $3^3$. That is, $3 \times 3 \times 3 = 27$.

Next, subtract 5 from 27: $27 - 5 = 22$.

Finally, the absolute value of 22 is $|22| = 22$ since it is already a positive number.

First, calculate $5^2$. That is, $5 \times 5 = 25$.

Next, subtract 24 from 25: $25 - 24 = 1$.

Finally, the absolute value of 1 is $|1| = 1$ since it is already a positive number.

First, calculate $6^2$. That is, $6 \times 6 = 36$.

Next, subtract 10 from 36: $36 - 10 = 26$.

Finally, the absolute value of 26 is $|26| = 26$ since it is already a positive number.

The expression inside the absolute value is $3^2 - 7$. Calculate $3^2$:
$3^2 = 9$.

Then, subtract 7 from 9:
$9 - 7 = 2$.

The absolute value of 2 is 2, so the expression evaluates to 2. Therefore, |3^2 - 7| = 2.

The expression $\left|2^3 - 5\right|$ represents the absolute value of the result of subtracting 5 from $2^3$.

Calculate the power: $2^3 = 8$.

Subtract the numbers: $8 - 5 = 3$.

The absolute value of 3 is $3$, so the answer is $3$.

The expression $\left|(9 - 3)^2\right|$ represents the absolute value of the square of (9 - 3).

Calculate the difference: $9 - 3 = 6$.

Then compute the square: $6^2 = 36$.

The absolute value of $36$ is $36$.