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

The solution to (-5)^3+3(-5)^2 is -50

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

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

- 50

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 5)^{3} : - 125

(- 5)^{3}

Apply exponent rule:

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

n

is odd

(- 5)^{3} = - 5^{3} = - 125

= - 125

= - 125 + 3 (- 5)^{2}

Calculate exponents

(- 5)^{2} : 25

(- 5)^{2}

Apply exponent rule:

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

n

is even

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

= 25

= - 125 + 3 \cdot 25

Multiply and divide (left to right)

3 \cdot 25 : 75

3 \cdot 25

3 \cdot 25 = 75

= 75

= - 125 + 75

Add and subtract (left to right)

- 125 + 75 : - 50

- 125 + 75

- 125 + 75 = - 50

= - 50

= - 50

6 \times 9 - 8 - 5

3^{8} - 3^{2} \times 2^{2} + 2 3^{2}

- 6 (- 3)^{2} + 2 (- 3) - 3

5/6 - (5/9) / (4/5)

1.66667