What is 4(18-2(4))^2 ?

The solution to 4(18-2(4))^2 is 400

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4(18-2(4))^2

4 (18 - 2 (4))^{2}

400

Solution steps

4 (18 - 2 (4))^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(18 - 2 (4)) : 10

18 - 2 (4)

Multiply and divide (left to right)

2 (4) : 8

2 (4)

Apply rule:

(a) = a

(4) = 4

= 2 \cdot 4

Multiply the numbers:

2 \cdot 4 = 8

= 8

= 18 - 8

Add and subtract (left to right)

18 - 8 : 10

18 - 8

18 - 8 = 10

= 10

= 10

= 4 \cdot 1 0^{2}

Calculate exponents

1 0^{2} : 100

1 0^{2}

1 0^{2} = 100

= 100

= 4 \cdot 100

Multiply and divide (left to right)

4 \cdot 100 : 400

4 \cdot 100

4 \cdot 100 = 400

= 400

= 400

(5)^{2} - 2 (5) - 8

2^{3} \cdot 5

15 + 3 \times 7 - 9

(2 + 4) \times (4 + (- \frac{1}{3}))

(- 1)^{2} - 3 \times (- 1) + 2