Order of Operations with Exponents and Roots Practice Problems

First, solve the square root: $\sqrt{49} = 7$.

Next, multiply 7 by 3: $7 \times 3 = 21$.

Finally, add 4 to 21: $4 + 21 = 25$.

To solve the expression $5+\sqrt{36}-1=$, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Here are the steps:

First, calculate the square root:

$\sqrt{36} = 6$

Substitute the square root back into the expression:

$5 + 6 - 1$

Next, perform the addition and subtraction from left to right:

Add 5 and 6:

$5 + 6 = 11$

Then subtract 1:

$11 - 1 = 10$

Finally, you obtain the solution:

$10$

To solve the expression $4 + 2^2$, follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Let's break down the expression:

• Step 1: Identify any exponents.
  The expression contains an exponent: $2^2$. To evaluate this, multiply 2 by itself: $2 \times 2$, which equals 4.
  So, $2^2 = 4$.
• Step 2: Perform addition.
  Now, substitute the result back into the original expression:
  $4 + 4$.
  Add these numbers together: 4 + 4 equals 8.

Therefore, the answer to the expression $4 + 2^2$ is 8.

To solve the expression $4 + 2 + 5^2$, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

• Step 1: Calculate Exponents
  In the expression we have an exponent: $5^2$. This means 5 is raised to the power of 2. We calculate this first:
  $5^2 = 25$.


• Step 2: Perform Addition
  Now, substitute the calculated value back into the expression:
  $4 + 2 + 25$.
  Perform the additions from left to right:
  $4 + 2 = 6$
  Finally add the result to 25:
  $6 + 25 = 31$.

First, compute the power: $5^2 = 25$.

Next, divide: $25 \div 5 = 5$.

Finally, subtract: $10 - 5 = 5$.