Order of Operations: (Exponents) - Examples, Exercises and Solutions

To solve the expression $6+\sqrt{64}-4=$, we need to follow the order of operations (PEMDAS/BODMAS):

• P: Parentheses (or Brackets)
• E: Exponents (or Orders, i.e., powers and roots, etc.)
• MD: Multiplication and Division (left-to-right)
• AS: Addition and Subtraction (left-to-right)

In this expression, we first need to evaluate the square root since it falls under the exponent category:

$\sqrt{64} = 8$

Next, we substitute the computed value back into the expression:

$6+8-4$

We then perform the addition and subtraction from left to right:

$6+8 = 14$

$14-4 = 10$

Thus, the final answer is:

$10$

Let's recall the order of operations:

1. Parentheses

2. Exponents and Roots

3. Multiplication and Division

4. Addition and Subtraction

There are no parentheses in this problem, so we'll start with exponents:

3*3+3² =

3*3+9 =

Let's continue to the next step, multiplication operations:

3*3+9 =

9 + 9 =

Now we're left with just a simple addition problem:

9+9= 18

And that's the solution!

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

Then, follow the order of operations (PEMDAS/BODMAS):

1. Addition: $7 + 7 = 14$

2. Subtraction: $14 - 5 = 9$

So, the correct answer is $9$.

First, evaluate the square root: $\sqrt{81}=9$.

Then, follow the order of operations (PEMDAS/BODMAS):

1. Multiplication: $3 \times 2 = 6$

2. Addition: $6 + 9 = 15$

So, the correct answer is $15$.

First, evaluate the square root: $\sqrt{16}=4$.

Then, follow the order of operations (PEMDAS/BODMAS):

1. Multiplication: $4 \times 3 = 12$

2. Subtraction: $8 - 12 = -4$

So, the correct answer is $-4$.

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

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

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

First, compute the power: $4^2 = 16$.

Next, divide: $16 \div 2 = 8$.

Finally, subtract: $15 - 8 = 7$.

First, compute the power: $3^3 = 27$.

Next, divide: $27 \div 3 = 9$.

Finally, subtract: $20 - 9 = 11$.

First, follow the order of operations (BODMAS/BIDMAS):

Step 1: Calculate the exponent:
$4^2 = 16$

Step 2: Perform the multiplication:
$3 \times 2 = 6$

Step 3: Perform the addition and subtraction from left to right:
$8 + 6 - 16 = 14 - 16 = -2$

The correct result is: $-2$.

First, follow the order of operations (BODMAS/BIDMAS):

Step 1: Calculate the exponent:
$2^2 = 4$

Step 2: Perform the multiplication:
$5 \times 4 = 20$

Step 3: Perform the addition and subtraction from left to right:
$6 - 3 + 20 = 23$

The correct result is: $23$.

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

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

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

Start by calculating the power: $5^2 = 25$.

Then, calculate the square root: $\sqrt{16} = 4$.

Subtract 4 from 25: $25 - 4 = 21$.

Finally, add 2: $21 + 2 = 23$.

Remember that according to the order of operations, exponents come before multiplication and division, which come before addition and subtraction (and parentheses always before everything),

So first calculate the values of the terms in the power and then subtract between the results:

$3^2-3^3 =9-27=-18$Therefore, the correct answer is option A.

Remember that according to the order of operations, exponents precede multiplication and division, which precede addition and subtraction (and parentheses always precede everything).

So first calculate the values of the terms in the power and then subtract between the results:

$3^2+3^3 =9+27=36$Therefore, the correct answer is option B.

Remember that according to the order of arithmetic operations, exponents precede multiplication and division, which precede addition and subtraction (and parentheses always precede everything).

So first calculate the values of the terms with exponents and then subtract the results:

$5^2\cdot4+3^3 =25\cdot4+27=100+27=127$Therefore, the correct answer is option B.