Q78. - Algebra 2

Question

Find the value of each expression

$9{\left(4-3\right)}^5$

Step-by-Step Solution

Answer

Value of $9{\left(4-3\right)}^5$ is 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 simplify the expression inside the parenthesis then expand the exponent as shown below

$\begin{array}{c}9{\left(4-3\right)}^5=9{\left(1\right)}^5\\ =9\left(1\right)\end{array}$

Step 3 - Multiply 9 with 1

Now, to simplify further multiply the numbers to get 

$9\left(1\right)=9$