What is -5^2+2^3-(-3)^2+2\times 3 ?

The solution to -5^2+2^3-(-3)^2+2\times 3 is -20

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-5^2+2^3-(-3)^2+2\times 3

- 5^{2} + 2^{3} - (- 3)^{2} + 2 \cdot 3

- 20

Solution steps

- 5^{2} + 2^{3} - (- 3)^{2} + 2 \cdot 3

Follow the PEMDAS order of operations

Calculate exponents

5^{2} : 25

5^{2}

5^{2} = 25

= 25

= - 25 + 2^{3} - (- 3)^{2} + 2 \cdot 3

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= - 25 + 8 - (- 3)^{2} + 2 \cdot 3

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

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

= 9

= - 25 + 8 - 9 + 2 \cdot 3

Multiply and divide (left to right)

2 \cdot 3 : 6

2 \cdot 3

2 \cdot 3 = 6

= 6

= - 25 + 8 - 9 + 6

Add and subtract (left to right)

- 25 + 8 - 9 + 6 : - 20

- 25 + 8 - 9 + 6

- 25 + 8 = - 17

= - 17 - 9 + 6

- 17 - 9 = - 26

= - 26 + 6

- 26 + 6 = - 20

= - 20

= - 20

3 \times 1 6^{1}

3 \times 1 6^{2}

64 \div 4 \div (- 8)

3 - 2 \times (2 \times 3 - 2 \times 4)

- 9 + 5 - (- 2) + (- 5) + (- 7)

What is -5^2+2^3-(-3)^2+2\times 3 ?
The solution to -5^2+2^3-(-3)^2+2\times 3 is -20