The second step in the order of operations is - exponents and roots!

The second step in the order of operations is - exponents and roots!
Immediately after dealing with parentheses, we move on to exponents and roots!
Pay attention - even within parentheses, it's very important to maintain the correct order of operations!
Exponent - multiply the base by itself the number of times shown in the exponent (the small number on the top right).
Root - half power - which positive number when multiplied by itself will give the number written under the root.
\( 10-5^2:5= \)
\( 15-4^2:2= \)
\( 20-3^3:3= \)
\( 3 \times 2 + \sqrt{81} = \)
\( 4 + \sqrt{49} \times 3 = \)
First, compute the power: .
Next, divide: .
Finally, subtract: .
First, compute the power: .
Next, divide: .
Finally, subtract: .
First, compute the power: .
Next, divide: .
Finally, subtract: .
First, evaluate the square root: .
Then, follow the order of operations (PEMDAS/BODMAS):
1. Multiplication:
2. Addition:
So, the correct answer is .
First, solve the square root: .
Next, multiply 7 by 3: .
Finally, add 4 to 21: .
\( 5^2 - \sqrt{16} + 2 = \)
\( 6 - 3 + 5 \times 2^2 = \)
\( 7 + \sqrt{49} - 5 = \)
\( 8 + 3 \times 2 - 4^2 = \)
\( 8 - \sqrt{16} \times 3 = \)
Start by calculating the power: .
Then, calculate the square root: .
Subtract 4 from 25: .
Finally, add 2: .
First, follow the order of operations (BODMAS/BIDMAS):
Step 1: Calculate the exponent:
Step 2: Perform the multiplication:
Step 3: Perform the addition and subtraction from left to right:
The correct result is: .
First, evaluate the square root: .
Then, follow the order of operations (PEMDAS/BODMAS):
1. Addition:
2. Subtraction:
So, the correct answer is .
First, follow the order of operations (BODMAS/BIDMAS):
Step 1: Calculate the exponent:
Step 2: Perform the multiplication:
Step 3: Perform the addition and subtraction from left to right:
The correct result is: .
First, evaluate the square root: .
Then, follow the order of operations (PEMDAS/BODMAS):
1. Multiplication:
2. Subtraction:
So, the correct answer is .
\( 6+\sqrt{64}-4= \)
\( 4+2^2= \)\( \)
\( 3\times3+3^2=\text{ ?} \)
\( 8-3^2:3= \)
\( 5+\sqrt{36}-1= \)
To solve the expression , we need to follow the order of operations (PEMDAS/BODMAS):
In this expression, we first need to evaluate the square root since it falls under the exponent category:
Next, we substitute the computed value back into the expression:
We then perform the addition and subtraction from left to right:
Thus, the final answer is:
10
To solve the expression , 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:
Therefore, the answer to the expression is 8.
8
First we need to remind ourselves of the order of operations:
Parentheses
Exponents and Roots
Multiplication and Division
Addition and Subtraction
There are no parentheses in this problem, therefore we will start with exponents:
3 * 3 + 3² =
3 * 3 + 9 =
Let's continue to the next step—multiplication operations:
3 * 3 + 9 =
9 + 9 =
Finally, we are left with a simple addition exercise:
9 + 9 = 18
18
Let's solve the expression step by step using the order of operations, often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
The given expression is:
Step 1: Evaluate Exponents
The expression has an exponent, which we need to evaluate first. The exponent is .
Calculate which equals .
Now the expression becomes:
Step 2: Division
Next, perform the division operation. Here we divide by .
Calculate which equals .
Now the expression becomes:
Step 3: Subtraction
Finally, perform the subtraction.
Calculate which equals .
Therefore, the solution to the expression is .
To solve the expression , 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:
Substitute the square root back into the expression:
Next, perform the addition and subtraction from left to right:
Add 5 and 6:
Then subtract 1:
Finally, you obtain the solution: