What is -3(4)^2+24(4)-45 ?

The solution to -3(4)^2+24(4)-45 is 3

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-3(4)^2+24(4)-45

- 3 (4)^{2} + 24 (4) - 45

3

Solution steps

- 3 (4)^{2} + 24 (4) - 45

Follow the PEMDAS order of operations

Calculate exponents

(4)^{2} : 16

(4)^{2}

(4)^{2} = 16

= 16

= - 3 \cdot 16 + 24 (4) - 45

Multiply and divide (left to right)

- 3 \cdot 16 : - 48

- 3 \cdot 16

- 3 \cdot 16 = - 48

= - 48

= - 48 + 24 (4) - 45

Multiply and divide (left to right)

24 (4) : 96

24 (4)

Apply rule:

(a) = a

(4) = 4

= 24 \cdot 4

Multiply the numbers:

24 \cdot 4 = 96

= 96

= - 48 + 96 - 45

Add and subtract (left to right)

- 48 + 96 - 45 : 3

- 48 + 96 - 45

- 48 + 96 = 48

= 48 - 45

48 - 45 = 3

= 3

= 3

(45 \div 5 + 10) \div (12 \times 5 - 45 + 12)

(27 - 18 + 3) \div 4 (3)

26 - 24 \div 6 \times 4 + 42

(36 \div 3 (8 - 2)) \div 6

\frac{1}{3} (- 6) - 2