Q2. - Algebra 2

Question

Find the value of each expression.

$-4+5\left(7-2^3\right)$ 

Step-by-Step Solution

Answer

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

Step 1 - 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.

Step 2 - 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

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

Step 3 - Subtract 5 from - 4

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

$-4-5=-9$