Powers and Roots: Small Numbers

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: $21 + 2 = 23$.