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

The solution to (-2)^4-(-3)^3+[(-1)(-3)+4^2]^2 is 404

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

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

404

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

[(- 1) (- 3) + 4^{2}] : 19

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

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= (- 1) (- 3) + 16

Multiply and divide (left to right)

(- 1) (- 3) : 3

(- 1) (- 3)

Apply rule

(- a) \cdot (- b) = a \cdot b

(- 1) (- 3) = 1 \cdot 3 = 3

= 3

= 3 + 16

Add and subtract (left to right)

3 + 16 : 19

3 + 16

3 + 16 = 19

= 19

= 19

= (- 2)^{4} - (- 3)^{3} + 1 9^{2}

Calculate exponents

(- 2)^{4} : 16

(- 2)^{4}

Apply exponent rule:

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

n

is even

(- 2)^{4} = 2^{4} = 16

= 16

= 16 - (- 3)^{3} + 1 9^{2}

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

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

n

is odd

(- 3)^{3} = - 3^{3} = - 27

= - 27

= 16 - (- 27) + 1 9^{2}

Calculate exponents

1 9^{2} : 361

1 9^{2}

1 9^{2} = 361

= 361

= 16 - (- 27) + 361

Add and subtract (left to right)

16 - (- 27) + 361 : 404

16 - (- 27) + 361

Apply rule

- (- a) = + a

- (- 27) = + 27

= 16 + 27 + 361

16 + 27 = 43

= 43 + 361

43 + 361 = 404

= 404

= 404

1 0^{2} - 3^{2} \times 6 - 3 \times 2

7^{2} + ((46 - 7 \times 2) \div 2^{3})^{3}

26 - 7 (3 + 5) \div 4 + 2

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

5 - 6 + 7 \times (3 - 6 + 4)

What is (-2)^4-(-3)^3+[(-1)(-3)+4^2]^2 ?
The solution to (-2)^4-(-3)^3+[(-1)(-3)+4^2]^2 is 404