The solution to 1/3 (-2)^3 is -8/3

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1/3 (-2)^3

Solution

\frac{1}{3} (- 2)^{3}

- \frac{8}{3}

Solution steps

\frac{1}{3} (- 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{1}{3} (- 8)

Multiply and divide (left to right)

\frac{1}{3} (- 8) : - \frac{8}{3}

\frac{1}{3} (- 8)

Apply rule

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

\frac{1}{3} (- 8) = - \frac{1}{3} \cdot 8

Convert element to fraction:

8 = \frac{8}{1}

= - \frac{1}{3} \cdot \frac{8}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

\frac{1}{3} \cdot \frac{8}{1} = \frac{1 \cdot 8}{3 \cdot 1}

= - \frac{1 \cdot 8}{3 \cdot 1}

Multiply the numbers:

1 \cdot 8 = 8

= - \frac{8}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= - \frac{8}{3}

= - \frac{8}{3}

4 \cdot 8 \cdot (- 2)

8 - (2 + 4)

3 + \frac{1}{2}

(1 + \frac{3}{5}) \div \frac{3}{4}

- 60 \div [10 \div (- 2)]