The solution to 3(-4-1)^2 is 75

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3(-4-1)^2

Solution

3 (- 4 - 1)^{2}

75

Solution steps

3 (- 4 - 1)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(- 4 - 1) : - 5

- 4 - 1

- 4 - 1 = - 5

= - 5

= 3 (- 5)^{2}

Calculate exponents

(- 5)^{2} : 25

(- 5)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 5)^{2} = 5^{2} = 25

= 25

= 3 \cdot 25

Multiply and divide (left to right)

3 \cdot 25 : 75

3 \cdot 25

3 \cdot 25 = 75

= 75

= 75

(- 1)^{2} - 2 (- 1)

2^{2} - 3^{2}

\frac{2 ^{3} \cdot 3 ^{2}}{3 ^{3} \cdot 2}

- 2 \times (- 2) \times (- 2)

- 2 + 10 - 8 \times 9 + 5 \times 4 + 12 \div 4 - 11 \div 1