1. (2^3 - 1) + 5 2. (5 + 3) / 10

Understand the Problem

The question presents two mathematical expressions involving operations such as exponentiation, subtraction, addition, and division. It requires solving these expressions step by step to find the results.

Answer

1. $12$ 2. $0.8$

Steps to Solve

Solve the first expression: $(2^3 - 1) + 5$

First, calculate $2^3$: $$ 2^3 = 8 $$

Next, substitute this value back into the expression: $$ (8 - 1) + 5 $$

Now, calculate $8 - 1$: $$ 8 - 1 = 7 $$

Finally, add $5$: $$ 7 + 5 = 12 $$

Solve the second expression: $(5 + 3) / 10$

Start by calculating $5 + 3$: $$ 5 + 3 = 8 $$

Next, substitute this value back into the expression: $$ 8 / 10 $$

Now, simplify the fraction: $$ \frac{8}{10} = 0.8 $$

The result of the first expression is $12$.
The result of the second expression is $0.8$.

More Information

The first expression involves exponentiating 2 to the power of 3, followed by simple arithmetic operations. The second expression illustrates basic addition and division, resulting in a decimal.

Tips

Forgetting the order of operations, especially with exponentiation.
Failing to simplify fractions.

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