What is 2-4^3+(3(-1))^2 ?

The solution to 2-4^3+(3(-1))^2 is -53

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2-4^3+(3(-1))^2

2 - 4^{3} + (3 (- 1))^{2}

- 53

Solution steps

2 - 4^{3} + (3 (- 1))^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(3 (- 1)) : - 3

3 (- 1)

3 (- 1) = - 3

= - 3

= 2 - 4^{3} + (- 3)^{2}

Calculate exponents

4^{3} : 64

4^{3}

4^{3} = 64

= 64

= 2 - 64 + (- 3)^{2}

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= 2 - 64 + 9

Add and subtract (left to right)

2 - 64 + 9 : - 53

2 - 64 + 9

2 - 64 = - 62

= - 62 + 9

- 62 + 9 = - 53

= - 53

= - 53

6 - 3 + \frac{3}{2}

\frac{( 22530 - 28 \times 10 + 33127 )}{63 \times 36}

20 + 10 - 5 + 20 + 25 + 25 - 20

- (0 + 3)^{2} + 5

\frac{1}{5} - 1 - \frac{8}{3} + \frac{3}{4}