What is (-3)^3\div (6\times (-7)) ?

The solution to (-3)^3\div (6\times (-7)) is 9/14

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(-3)^3\div (6\times (-7))

(- 3)^{3} \div (6 \times (- 7))

\frac{9}{14}

Solution steps

(- 3)^{3} \div (6 \times (- 7))

Follow the PEMDAS order of operations

Calculate within parentheses

(6 \times (- 7)) : - 42

6 \times (- 7)

Apply rule

a \times (- b) = - a \times b

6 \times (- 7) = - 6 \times 7 = - 42

= - 42

= (- 3)^{3} \div (- 42)

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

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

n

is odd

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

= - 27

= - 27 \div (- 42)

Multiply and divide (left to right)

- 27 \div (- 42) : \frac{- 27}{( - 42 )}

- 27 \div (- 42)

Apply rule

- a \div (- b) = a \div b

- 27 \div (- 42) = 27 \div 42 = \frac{- 27}{( - 42 )}

= \frac{- 27}{( - 42 )}

= \frac{- 27}{( - 42 )}

Simplify

\frac{- 27}{( - 42 )} : \frac{9}{14}

Apply the fraction rule:

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

= \frac{27}{42}

Cancel the common factor:

3

= \frac{9}{14}

(5^{2} \cdot 3^{4})^{3}

- 9 + 7 + 8

3 (5)^{2} + 2 (5) - 56

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

4 - 6 - 7

What is (-3)^3\div (6\times (-7)) ?
The solution to (-3)^3\div (6\times (-7)) is 9/14