Q2. - Algebra 1

Question

What is the value of the expression below?

$3^2+5^3-2^5$

F. 14

G. 34

H. 102

J. 166

Step-by-Step Solution

Answer

The value of the expression is option H. 102.

Step 1. State the concept of DODMAS Rule.

BODMAS is a short form for Brackets, order of power, Division, Multiplication, Addition and Subtraction. 

This rule explains the order of operations (order of precedence) to solve an expression.

Step 2. Evaluate the exponents.

Evaluate the values of $3^2, 5^3$ and $2^5$.

$$\begin{gathered} 3^2=3\times 3=9 \\ {5}^3=5\times 5\times 5=125 \\ {2}^5=2\times 2\times 2\times 2\times 2=32 \end{gathered}$$

Step 3. Find the value of the given expression.

Substitute the above values in the expression and simplify further.

$$\begin{gathered} 3^2+5^3-2^5=9+125-32 \\ =134-32 \\ =102 \end{gathered}$$

Therefore, option H is the correct answer.