The solution to 7(-2)^3+5 is -51

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7(-2)^3+5

Solution

7 (- 2)^{3} + 5

- 51

Solution steps

7 (- 2)^{3} + 5

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{3} : - 8

(- 2)^{3}

Apply exponent rule:

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

n

is odd

(- 2)^{3} = - 2^{3} = - 8

= - 8

= 7 (- 8) + 5

Multiply and divide (left to right)

7 (- 8) : - 56

7 (- 8)

Apply rule

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

7 (- 8) = - 7 \cdot 8 = - 56

= - 56

= - 56 + 5

Add and subtract (left to right)

- 56 + 5 : - 51

- 56 + 5

- 56 + 5 = - 51

= - 51

= - 51

1 - 3 (2)

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

(10 + 4)^{2} - 25

1 - 3 + 5 - 10

8 \frac{7}{8} - 3 \times 6 \frac{1}{6}