What is -13/8 (-2)^3 ?

The solution to -13/8 (-2)^3 is 13

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-13/8 (-2)^3

- \frac{13}{8} (- 2)^{3}

13

Solution steps

- \frac{13}{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{13}{8} (- 8)

Multiply and divide (left to right)

- \frac{13}{8} (- 8) : 13

- \frac{13}{8} (- 8)

Apply rule

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

- \frac{13}{8} (- 8) = \frac{13}{8} \cdot 8

Convert element to fraction:

8 = \frac{8}{1}

= \frac{13}{8} \cdot \frac{8}{1}

Cross-cancel common factor:

8

= \frac{13}{1}

Divide the numbers:

\frac{13}{1} = 13

= 13

= 13

- 2 (2)^{2} + 8 (2) - 6

\frac{8}{( 2 + 2 ) ^{3}}

2 (0) - 7

- 4 - (- 6 - 12) - (- (- 8 - 3) + (- (- 1 + 7) - 8)) - 10

2 (15) + 8