What is -11/8 (-2)^3 ?

The solution to -11/8 (-2)^3 is 11

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-11/8 (-2)^3

- \frac{11}{8} (- 2)^{3}

11

Solution steps

- \frac{11}{8} (- 2)^{3}

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

= - \frac{11}{8} (- 8)

Multiply and divide (left to right)

- \frac{11}{8} (- 8) : 11

- \frac{11}{8} (- 8)

Apply rule

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

- \frac{11}{8} (- 8) = \frac{11}{8} \cdot 8

Convert element to fraction:

8 = \frac{8}{1}

= \frac{11}{8} \cdot \frac{8}{1}

Cross-cancel common factor:

8

= \frac{11}{1}

Divide the numbers:

\frac{11}{1} = 11

= 11

= 11

2 - 2 \cdot 2 + \frac{2}{2}

4 - 2 (7 - 4) + 3 (1 - 5) + 8

3 (7) - 6

2 [6 - 2 (97 - 4) \div 6] + 1

(- 45) \cdot (- 2) \cdot (- 3)