Question

What is the value of the expression below?

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

F. 14

G. 34

H. 102

J. 166

Short answer

The value of the expression is option H. 102.

Step-by-step solution

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 His the correct answer.