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

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

Calculate exponents

(- 2)^{4} : 16

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

Calculate exponents

(- 3)^{3} : - 27

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

Calculate exponents

1 9^{2} : 361

= 16 - (- 27) + 361

Add and subtract (left to right)

16 - (- 27) + 361 : 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