What is (-2)^3+(48)/(-2) ?

The solution to (-2)^3+(48)/(-2) is -32

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(-2)^3+(48)/(-2)

(- 2)^{3} + \frac{48}{- 2}

- 32

Solution steps

(- 2)^{3} + \frac{48}{- 2}

Simplify

\frac{48}{- 2} : - 24

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{48}{2}

Divide the numbers:

\frac{48}{2} = 24

= - 24

= (- 2)^{3} - 24

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

= - 8 - 24

Add and subtract (left to right)

- 8 - 24 : - 32

- 8 - 24

- 8 - 24 = - 32

= - 32

= - 32

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

3 - \frac{5}{8} + \frac{1}{3}

6 (1) - 12

(456 - 326) \div 13 + 5^{2} - 105 \div 3

- 4 - 1 - 2 + 3