What is -38^3+5/8 8+2/3 ?

The solution to -38^3+5/8 8+2/3 is -164599/3

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-38^3+5/8 8+2/3

- 3 8^{3} + \frac{5}{8} 8 + \frac{2}{3}

- \frac{164599}{3}

Solution steps

- 3 8^{3} + \frac{5}{8} \cdot 8 + \frac{2}{3}

Follow the PEMDAS order of operations

Calculate exponents

3 8^{3} : 54872

3 8^{3}

3 8^{3} = 54872

= 54872

= - 54872 + \frac{5}{8} \cdot 8 + \frac{2}{3}

Multiply and divide (left to right)

\frac{5}{8} \cdot 8 : 5

\frac{5}{8} \cdot 8

Convert element to fraction:

8 = \frac{8}{1}

= \frac{5}{8} \cdot \frac{8}{1}

Cross-cancel common factor:

8

= \frac{5}{1}

Divide the numbers:

\frac{5}{1} = 5

= 5

= - 54872 + 5 + \frac{2}{3}

Add and subtract (left to right)

- 54872 + 5 + \frac{2}{3} : - \frac{164599}{3}

- 54872 + 5 + \frac{2}{3}

- 54872 + 5 = - 54867

= - 54867 + \frac{2}{3}

- 54867 + \frac{2}{3} = - \frac{164599}{3}

= - \frac{164599}{3}

= - \frac{164599}{3}

6 + 35 \div 7 (24 \div 6 + 10)

1 + 5 (4 \times 7 + 5 (15 - 4 \times 5)) - 3 (7 - 4)

(3 - 2) + (1 + 3)

- 4 \cdot 0 + 3

8 - (- 6 + 10)