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

The solution to (-5)^2+3^3\div (-3) is 16

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

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

16

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 5)^{2} : 25

(- 5)^{2}

Apply exponent rule:

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

n

is even

(- 5)^{2} = 5^{2} = 25

= 25

= 25 + 3^{3} \div (- 3)

Calculate exponents

3^{3} : 27

3^{3}

3^{3} = 27

= 27

= 25 + 27 \div (- 3)

Multiply and divide (left to right)

27 \div (- 3) : - 9

27 \div (- 3)

Apply rule

a \div (- b) = - a \div b

27 \div (- 3) = - 27 \div 3 = - 9

= - 9

= 25 - 9

Add and subtract (left to right)

25 - 9 : 16

25 - 9

25 - 9 = 16

= 16

= 16

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

4 (5) - 2 (- 3)

2 + 3 \times 6

11 - 3 (39 \div 22)

2 7^{2} + 1 8^{2}