Question

Find the value of each expression.

$-4+5\left(7-2^3\right)$

Short answer

Expression $-4+5\left(7-2^3\right)$ results into $-9$

Step-by-step solution

- Order for simplification 

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

- Simplify expression inside grouping symbol 

To evaluate the value of the given expression, first expand the exponent then simplify the expression inside the parenthesis as shown below

$\begin{array}{c}-4+5\left(7-2^3\right)=-4+5\left(7-8\right)\\ =-4+5\left(-1\right)\\ =-4-5\end{array}$

- Subtract 5 from -4

Now, to simplify further subtract the numbers from left to right to get,

$-4-5=-9$