Question

How do you solve this equation

Answer 1

Remember the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

Solve the expressions in parentheses first.

There is an expression within parentheses that is also in an expression within brackets. Solve that expression first:

$6 - 10 = -4$

The expression in brackets will now read:

$[4 - 3(-4)]$

Multiply 3(-4):

$3 \cdot -4 = -12$

$[4 - (-12)]$

Solve the expression:

$4 - (-12) = 4 + 12 = 16$

The problem should now look like this:

$(8-2)^2 + \frac{1}{4}(16)$

Solve the expression in parentheses that has an exponent:

$8 - 2 = 6$

$(6)^2 = 6 \cdot 6 = 36$

Solve the term with 1/4 as a coefficient:

$\frac{1}{4}(16) = 4$

The expression should now look like this:

$36 + 4 = \boxed{40}$

The answer is 40.

Answer 2

(8 - 2)² + 1/4[4 - 3(6 - 10)]

Solve this expression using PEMDAS. (M/D and A/S are not in order, they are solved from left to right)

1. Parentheses
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction

According to PEMDAS, we are going to solve inside the parentheses (brackets) first.

Solve (6 - 10) inside the brackets first.

• (8 - 2)² + 1/4[4 - 3(-4)]

Solve the multiplication inside the brackets (-3 * -4).

• (8 - 2)² + 1/4[4 + 12]

Add 4 + 12 inside the brackets.

• (8 - 2)² + 1/4[16]

Now solve (8 - 2) to complete the P step in PEMDAS.

• (6)² + 1/4(16)

Next step in PEMDAS is E, exponents. Solve (6)².

• 36 + 1/4(16)

Next step in PEMDAS is M, multiplication, so multiply 1/4(16).

• 36 + 4

The last step is to add 36 and 4 together.

• 36 + 4 = 40

Your answer is 40.