The solution to 1/3 (-3)^3 is -9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/3 (-3)^3

Solution

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

- 9

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- 3)^{3} = - 3^{3} = - 27

= - 27

= \frac{1}{3} (- 27)

Multiply and divide (left to right)

\frac{1}{3} (- 27) : - 9

\frac{1}{3} (- 27)

Apply rule

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

\frac{1}{3} (- 27) = - \frac{1}{3} \cdot 27

Convert element to fraction:

27 = \frac{27}{1}

= - \frac{1}{3} \cdot \frac{27}{1}

Apply the fraction rule:

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

\frac{1}{3} \cdot \frac{27}{1} = \frac{1 \cdot 27}{3 \cdot 1}

= - \frac{1 \cdot 27}{3 \cdot 1}

\frac{1 \cdot 27}{3 \cdot 1} = 9

\frac{1 \cdot 27}{3 \cdot 1}

\frac{1 \cdot 27}{3 \cdot 1} = \frac{27}{3}

\frac{1 \cdot 27}{3 \cdot 1}

Multiply the numbers:

1 \cdot 27 = 27

= \frac{27}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{27}{3}

= \frac{27}{3}

Divide the numbers:

\frac{27}{3} = 9

= 9

= - 9

= - 9

- 3 + \frac{1}{3} (6 + 3)

2 + (- 2) + 1 + (- 6)

{2 + [2 - (2 - 5 + (- 3) + 5)]} + (- 3)

+ (- 7) - (- 13) + (- 4) + (+ 2)

76 - [- 7 + 5 \times (9 - 14 + 7) - 5] - 4 \times (- 3)