### Select your language

Suggested languages for you:

Americas

Europe

Q2.

Expert-verified
Found in: Page 18

### Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

# Find the value of each expression.$-4+5\left(7-{2}^{3}\right)$

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

See the step by step solution

## 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,

$-4-5=-9$